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Finding the Fourth Proportional to 8,006.72, 12,017.28 and 4,113.92

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Solution

The fourth proportional to 8,006.72, 12,017.28 and 4,113.92 is: 6,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.72 : 12,017.28 = 4,113.92 : x
  2. Step 2: Convert to fraction form
    8,006.72/12,017.28 = 4,113.92/x
  3. Step 3: Cross multiply
    8,006.72x = 12,017.28 × 4,113.92
  4. Step 4: Simplify right side
    8,006.72x = 49,438,128.54
  5. Step 5: Solve for x
    x = 49,438,128.54/8,006.72
  6. Step 6: Final answer
    x = 6,174.58

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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.