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Finding the Fourth Proportional to 10,614.56, 14,649.96 and 6,137.60

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Solution

The fourth proportional to 10,614.56, 14,649.96 and 6,137.60 is: 8,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.56 : 14,649.96 = 6,137.60 : x
  2. Step 2: Convert to fraction form
    10,614.56/14,649.96 = 6,137.60/x
  3. Step 3: Cross multiply
    10,614.56x = 14,649.96 × 6,137.60
  4. Step 4: Simplify right side
    10,614.56x = 89,915,594.50
  5. Step 5: Solve for x
    x = 89,915,594.50/10,614.56
  6. Step 6: Final answer
    x = 8,470.97

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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.