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Finding the Fourth Proportional to 7,539.72, 10,407.54 and 6,140.04

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Solution

The fourth proportional to 7,539.72, 10,407.54 and 6,140.04 is: 8,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.72 : 10,407.54 = 6,140.04 : x
  2. Step 2: Convert to fraction form
    7,539.72/10,407.54 = 6,140.04/x
  3. Step 3: Cross multiply
    7,539.72x = 10,407.54 × 6,140.04
  4. Step 4: Simplify right side
    7,539.72x = 63,902,711.90
  5. Step 5: Solve for x
    x = 63,902,711.90/7,539.72
  6. Step 6: Final answer
    x = 8,475.48

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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.