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Finding the Fourth Proportional to 10,144.16, 14,001.62 and 6,167.44

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Solution

The fourth proportional to 10,144.16, 14,001.62 and 6,167.44 is: 8,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.16 : 14,001.62 = 6,167.44 : x
  2. Step 2: Convert to fraction form
    10,144.16/14,001.62 = 6,167.44/x
  3. Step 3: Cross multiply
    10,144.16x = 14,001.62 × 6,167.44
  4. Step 4: Simplify right side
    10,144.16x = 86,354,151.25
  5. Step 5: Solve for x
    x = 86,354,151.25/10,144.16
  6. Step 6: Final answer
    x = 8,512.70

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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.