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Finding the Fourth Proportional to 8,301.44, 12,445.88 and 5,013.76

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Solution

The fourth proportional to 8,301.44, 12,445.88 and 5,013.76 is: 7,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.44 : 12,445.88 = 5,013.76 : x
  2. Step 2: Convert to fraction form
    8,301.44/12,445.88 = 5,013.76/x
  3. Step 3: Cross multiply
    8,301.44x = 12,445.88 × 5,013.76
  4. Step 4: Simplify right side
    8,301.44x = 62,400,655.31
  5. Step 5: Solve for x
    x = 62,400,655.31/8,301.44
  6. Step 6: Final answer
    x = 7,516.85

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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.