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Finding the Fourth Proportional to 11,712.64, 16,163.12 and 6,407.44

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Solution

The fourth proportional to 11,712.64, 16,163.12 and 6,407.44 is: 8,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.64 : 16,163.12 = 6,407.44 : x
  2. Step 2: Convert to fraction form
    11,712.64/16,163.12 = 6,407.44/x
  3. Step 3: Cross multiply
    11,712.64x = 16,163.12 × 6,407.44
  4. Step 4: Simplify right side
    11,712.64x = 103,564,221.61
  5. Step 5: Solve for x
    x = 103,564,221.61/11,712.64
  6. Step 6: Final answer
    x = 8,842.09

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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.