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Finding the Fourth Proportional to 10,693.68, 14,760.12 and 6,156.87

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Solution

The fourth proportional to 10,693.68, 14,760.12 and 6,156.87 is: 8,498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.68 : 14,760.12 = 6,156.87 : x
  2. Step 2: Convert to fraction form
    10,693.68/14,760.12 = 6,156.87/x
  3. Step 3: Cross multiply
    10,693.68x = 14,760.12 × 6,156.87
  4. Step 4: Simplify right side
    10,693.68x = 90,876,140.02
  5. Step 5: Solve for x
    x = 90,876,140.02/10,693.68
  6. Step 6: Final answer
    x = 8,498.12

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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.