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Finding the Fourth Proportional to 6,753.20, 10,129.80 and 6,688.40

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Solution

The fourth proportional to 6,753.20, 10,129.80 and 6,688.40 is: 10,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.20 : 10,129.80 = 6,688.40 : x
  2. Step 2: Convert to fraction form
    6,753.20/10,129.80 = 6,688.40/x
  3. Step 3: Cross multiply
    6,753.20x = 10,129.80 × 6,688.40
  4. Step 4: Simplify right side
    6,753.20x = 67,752,154.32
  5. Step 5: Solve for x
    x = 67,752,154.32/6,753.20
  6. Step 6: Final answer
    x = 10,032.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.