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Finding the Fourth Proportional to 7,640.91, 10,542.69 and 4,497.30

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Solution

The fourth proportional to 7,640.91, 10,542.69 and 4,497.30 is: 6,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.91 : 10,542.69 = 4,497.30 : x
  2. Step 2: Convert to fraction form
    7,640.91/10,542.69 = 4,497.30/x
  3. Step 3: Cross multiply
    7,640.91x = 10,542.69 × 4,497.30
  4. Step 4: Simplify right side
    7,640.91x = 47,413,639.74
  5. Step 5: Solve for x
    x = 47,413,639.74/7,640.91
  6. Step 6: Final answer
    x = 6,205.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.