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Finding the Fourth Proportional to 10,869.66, 15,000.18 and 6,154.86

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Solution

The fourth proportional to 10,869.66, 15,000.18 and 6,154.86 is: 8,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.66 : 15,000.18 = 6,154.86 : x
  2. Step 2: Convert to fraction form
    10,869.66/15,000.18 = 6,154.86/x
  3. Step 3: Cross multiply
    10,869.66x = 15,000.18 × 6,154.86
  4. Step 4: Simplify right side
    10,869.66x = 92,323,932.87
  5. Step 5: Solve for x
    x = 92,323,932.87/10,869.66
  6. Step 6: Final answer
    x = 8,493.73

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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.