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Finding the Fourth Proportional to 7,752.52, 10,686.36 and 6,342.04

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Solution

The fourth proportional to 7,752.52, 10,686.36 and 6,342.04 is: 8,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.52 : 10,686.36 = 6,342.04 : x
  2. Step 2: Convert to fraction form
    7,752.52/10,686.36 = 6,342.04/x
  3. Step 3: Cross multiply
    7,752.52x = 10,686.36 × 6,342.04
  4. Step 4: Simplify right side
    7,752.52x = 67,773,322.57
  5. Step 5: Solve for x
    x = 67,773,322.57/7,752.52
  6. Step 6: Final answer
    x = 8,742.10

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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.