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Finding the Fourth Proportional to 10,871.28, 15,002.82 and 6,889.32

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Solution

The fourth proportional to 10,871.28, 15,002.82 and 6,889.32 is: 9,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.28 : 15,002.82 = 6,889.32 : x
  2. Step 2: Convert to fraction form
    10,871.28/15,002.82 = 6,889.32/x
  3. Step 3: Cross multiply
    10,871.28x = 15,002.82 × 6,889.32
  4. Step 4: Simplify right side
    10,871.28x = 103,359,227.88
  5. Step 5: Solve for x
    x = 103,359,227.88/10,871.28
  6. Step 6: Final answer
    x = 9,507.55

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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.