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Finding the Fourth Proportional to 10,753.70, 16,135.30 and 4,180.40

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Solution

The fourth proportional to 10,753.70, 16,135.30 and 4,180.40 is: 6,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.70 : 16,135.30 = 4,180.40 : x
  2. Step 2: Convert to fraction form
    10,753.70/16,135.30 = 4,180.40/x
  3. Step 3: Cross multiply
    10,753.70x = 16,135.30 × 4,180.40
  4. Step 4: Simplify right side
    10,753.70x = 67,452,008.12
  5. Step 5: Solve for x
    x = 67,452,008.12/10,753.70
  6. Step 6: Final answer
    x = 6,272.45

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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.