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Finding the Fourth Proportional to 7,640.10, 10,542.47 and 4,282.47

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Solution

The fourth proportional to 7,640.10, 10,542.47 and 4,282.47 is: 5,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.10 : 10,542.47 = 4,282.47 : x
  2. Step 2: Convert to fraction form
    7,640.10/10,542.47 = 4,282.47/x
  3. Step 3: Cross multiply
    7,640.10x = 10,542.47 × 4,282.47
  4. Step 4: Simplify right side
    7,640.10x = 45,147,790.09
  5. Step 5: Solve for x
    x = 45,147,790.09/7,640.10
  6. Step 6: Final answer
    x = 5,909.32

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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.