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Finding the Fourth Proportional to 11,712.62, 16,163.65 and 6,407.78

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Solution

The fourth proportional to 11,712.62, 16,163.65 and 6,407.78 is: 8,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.62 : 16,163.65 = 6,407.78 : x
  2. Step 2: Convert to fraction form
    11,712.62/16,163.65 = 6,407.78/x
  3. Step 3: Cross multiply
    11,712.62x = 16,163.65 × 6,407.78
  4. Step 4: Simplify right side
    11,712.62x = 103,573,113.20
  5. Step 5: Solve for x
    x = 103,573,113.20/11,712.62
  6. Step 6: Final answer
    x = 8,842.86

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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.