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Finding the Fourth Proportional to 10,871.24, 15,002.88 and 6,155.96

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Solution

The fourth proportional to 10,871.24, 15,002.88 and 6,155.96 is: 8,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.24 : 15,002.88 = 6,155.96 : x
  2. Step 2: Convert to fraction form
    10,871.24/15,002.88 = 6,155.96/x
  3. Step 3: Cross multiply
    10,871.24x = 15,002.88 × 6,155.96
  4. Step 4: Simplify right side
    10,871.24x = 92,357,129.16
  5. Step 5: Solve for x
    x = 92,357,129.16/10,871.24
  6. Step 6: Final answer
    x = 8,495.55

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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.