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Finding the Fourth Proportional to 10,614.60, 14,649.32 and 6,077.72

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Solution

The fourth proportional to 10,614.60, 14,649.32 and 6,077.72 is: 8,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.60 : 14,649.32 = 6,077.72 : x
  2. Step 2: Convert to fraction form
    10,614.60/14,649.32 = 6,077.72/x
  3. Step 3: Cross multiply
    10,614.60x = 14,649.32 × 6,077.72
  4. Step 4: Simplify right side
    10,614.60x = 89,034,465.15
  5. Step 5: Solve for x
    x = 89,034,465.15/10,614.60
  6. Step 6: Final answer
    x = 8,387.92

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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.