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Finding the Fourth Proportional to 10,727.56, 14,805.75 and 6,253.93

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Solution

The fourth proportional to 10,727.56, 14,805.75 and 6,253.93 is: 8,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.56 : 14,805.75 = 6,253.93 : x
  2. Step 2: Convert to fraction form
    10,727.56/14,805.75 = 6,253.93/x
  3. Step 3: Cross multiply
    10,727.56x = 14,805.75 × 6,253.93
  4. Step 4: Simplify right side
    10,727.56x = 92,594,124.10
  5. Step 5: Solve for x
    x = 92,594,124.10/10,727.56
  6. Step 6: Final answer
    x = 8,631.42

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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.