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Finding the Fourth Proportional to 10,753.70, 16,132.35 and 4,180.10

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Solution

The fourth proportional to 10,753.70, 16,132.35 and 4,180.10 is: 6,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.70 : 16,132.35 = 4,180.10 : x
  2. Step 2: Convert to fraction form
    10,753.70/16,132.35 = 4,180.10/x
  3. Step 3: Cross multiply
    10,753.70x = 16,132.35 × 4,180.10
  4. Step 4: Simplify right side
    10,753.70x = 67,434,836.24
  5. Step 5: Solve for x
    x = 67,434,836.24/10,753.70
  6. Step 6: Final answer
    x = 6,270.85

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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.