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Finding the Fourth Proportional to 10,249.53, 14,147.89 and 6,001.95

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Solution

The fourth proportional to 10,249.53, 14,147.89 and 6,001.95 is: 8,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.53 : 14,147.89 = 6,001.95 : x
  2. Step 2: Convert to fraction form
    10,249.53/14,147.89 = 6,001.95/x
  3. Step 3: Cross multiply
    10,249.53x = 14,147.89 × 6,001.95
  4. Step 4: Simplify right side
    10,249.53x = 84,914,966.44
  5. Step 5: Solve for x
    x = 84,914,966.44/10,249.53
  6. Step 6: Final answer
    x = 8,284.77

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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.