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Finding the Fourth Proportional to 10,149.48, 14,005.20 and 6,169.14

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Solution

The fourth proportional to 10,149.48, 14,005.20 and 6,169.14 is: 8,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.48 : 14,005.20 = 6,169.14 : x
  2. Step 2: Convert to fraction form
    10,149.48/14,005.20 = 6,169.14/x
  3. Step 3: Cross multiply
    10,149.48x = 14,005.20 × 6,169.14
  4. Step 4: Simplify right side
    10,149.48x = 86,400,039.53
  5. Step 5: Solve for x
    x = 86,400,039.53/10,149.48
  6. Step 6: Final answer
    x = 8,512.76

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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.