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Finding the Fourth Proportional to 10,727.31, 14,805.41 and 6,253.68

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Solution

The fourth proportional to 10,727.31, 14,805.41 and 6,253.68 is: 8,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.31 : 14,805.41 = 6,253.68 : x
  2. Step 2: Convert to fraction form
    10,727.31/14,805.41 = 6,253.68/x
  3. Step 3: Cross multiply
    10,727.31x = 14,805.41 × 6,253.68
  4. Step 4: Simplify right side
    10,727.31x = 92,588,265.14
  5. Step 5: Solve for x
    x = 92,588,265.14/10,727.31
  6. Step 6: Final answer
    x = 8,631.08

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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.