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Finding the Fourth Proportional to 10,379.31, 15,577.27 and 5,451.86

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Solution

The fourth proportional to 10,379.31, 15,577.27 and 5,451.86 is: 8,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.31 : 15,577.27 = 5,451.86 : x
  2. Step 2: Convert to fraction form
    10,379.31/15,577.27 = 5,451.86/x
  3. Step 3: Cross multiply
    10,379.31x = 15,577.27 × 5,451.86
  4. Step 4: Simplify right side
    10,379.31x = 84,925,003.71
  5. Step 5: Solve for x
    x = 84,925,003.71/10,379.31
  6. Step 6: Final answer
    x = 8,182.14

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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.