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Finding the Fourth Proportional to 7,724,768.40, 11,592,401.40 and 4,313,048.40

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Solution

The fourth proportional to 7,724,768.40, 11,592,401.40 and 4,313,048.40 is: 6,472,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724,768.40 : 11,592,401.40 = 4,313,048.40 : x
  2. Step 2: Convert to fraction form
    7,724,768.40/11,592,401.40 = 4,313,048.40/x
  3. Step 3: Cross multiply
    7,724,768.40x = 11,592,401.40 × 4,313,048.40
  4. Step 4: Simplify right side
    7,724,768.40x = 49,998,588,310,427.77
  5. Step 5: Solve for x
    x = 49,998,588,310,427.77/7,724,768.40
  6. Step 6: Final answer
    x = 6,472,503.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.