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Finding the Fourth Proportional to 10,686.72, 16,033.12 and 4,113.44

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Solution

The fourth proportional to 10,686.72, 16,033.12 and 4,113.44 is: 6,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.72 : 16,033.12 = 4,113.44 : x
  2. Step 2: Convert to fraction form
    10,686.72/16,033.12 = 4,113.44/x
  3. Step 3: Cross multiply
    10,686.72x = 16,033.12 × 4,113.44
  4. Step 4: Simplify right side
    10,686.72x = 65,951,277.13
  5. Step 5: Solve for x
    x = 65,951,277.13/10,686.72
  6. Step 6: Final answer
    x = 6,171.33

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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.