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Finding the Fourth Proportional to 10,514.61, 15,773.13 and 2,724.03

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Solution

The fourth proportional to 10,514.61, 15,773.13 and 2,724.03 is: 4,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.61 : 15,773.13 = 2,724.03 : x
  2. Step 2: Convert to fraction form
    10,514.61/15,773.13 = 2,724.03/x
  3. Step 3: Cross multiply
    10,514.61x = 15,773.13 × 2,724.03
  4. Step 4: Simplify right side
    10,514.61x = 42,966,479.31
  5. Step 5: Solve for x
    x = 42,966,479.31/10,514.61
  6. Step 6: Final answer
    x = 4,086.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.