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Finding the Fourth Proportional to 7,401.59, 11,048.39 and 6,467.40

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Solution

The fourth proportional to 7,401.59, 11,048.39 and 6,467.40 is: 9,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.59 : 11,048.39 = 6,467.40 : x
  2. Step 2: Convert to fraction form
    7,401.59/11,048.39 = 6,467.40/x
  3. Step 3: Cross multiply
    7,401.59x = 11,048.39 × 6,467.40
  4. Step 4: Simplify right side
    7,401.59x = 71,454,357.49
  5. Step 5: Solve for x
    x = 71,454,357.49/7,401.59
  6. Step 6: Final answer
    x = 9,653.92

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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.