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Finding the Fourth Proportional to 10,874.14, 15,006.27 and 6,158.86

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Solution

The fourth proportional to 10,874.14, 15,006.27 and 6,158.86 is: 8,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.14 : 15,006.27 = 6,158.86 : x
  2. Step 2: Convert to fraction form
    10,874.14/15,006.27 = 6,158.86/x
  3. Step 3: Cross multiply
    10,874.14x = 15,006.27 × 6,158.86
  4. Step 4: Simplify right side
    10,874.14x = 92,421,516.05
  5. Step 5: Solve for x
    x = 92,421,516.05/10,874.14
  6. Step 6: Final answer
    x = 8,499.20

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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.