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Finding the Fourth Proportional to 10,102.72, 15,154.08 and 5,986.24

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Solution

The fourth proportional to 10,102.72, 15,154.08 and 5,986.24 is: 8,979.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.72 : 15,154.08 = 5,986.24 : x
  2. Step 2: Convert to fraction form
    10,102.72/15,154.08 = 5,986.24/x
  3. Step 3: Cross multiply
    10,102.72x = 15,154.08 × 5,986.24
  4. Step 4: Simplify right side
    10,102.72x = 90,715,959.86
  5. Step 5: Solve for x
    x = 90,715,959.86/10,102.72
  6. Step 6: Final answer
    x = 8,979.36

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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.