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Finding the Fourth Proportional to 10,149.64, 14,006.39 and 5,612.31

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Solution

The fourth proportional to 10,149.64, 14,006.39 and 5,612.31 is: 7,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.64 : 14,006.39 = 5,612.31 : x
  2. Step 2: Convert to fraction form
    10,149.64/14,006.39 = 5,612.31/x
  3. Step 3: Cross multiply
    10,149.64x = 14,006.39 × 5,612.31
  4. Step 4: Simplify right side
    10,149.64x = 78,608,174.60
  5. Step 5: Solve for x
    x = 78,608,174.60/10,149.64
  6. Step 6: Final answer
    x = 7,744.92

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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.