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Finding the Fourth Proportional to 7,401.84, 11,048.76 and 6,467.66

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Solution

The fourth proportional to 7,401.84, 11,048.76 and 6,467.66 is: 9,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.84 : 11,048.76 = 6,467.66 : x
  2. Step 2: Convert to fraction form
    7,401.84/11,048.76 = 6,467.66/x
  3. Step 3: Cross multiply
    7,401.84x = 11,048.76 × 6,467.66
  4. Step 4: Simplify right side
    7,401.84x = 71,459,623.10
  5. Step 5: Solve for x
    x = 71,459,623.10/7,401.84
  6. Step 6: Final answer
    x = 9,654.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.