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Finding the Fourth Proportional to 10,753.14, 16,132.62 and 4,509.86

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Solution

The fourth proportional to 10,753.14, 16,132.62 and 4,509.86 is: 6,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.14 : 16,132.62 = 4,509.86 : x
  2. Step 2: Convert to fraction form
    10,753.14/16,132.62 = 4,509.86/x
  3. Step 3: Cross multiply
    10,753.14x = 16,132.62 × 4,509.86
  4. Step 4: Simplify right side
    10,753.14x = 72,755,857.63
  5. Step 5: Solve for x
    x = 72,755,857.63/10,753.14
  6. Step 6: Final answer
    x = 6,766.01

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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.