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Finding the Fourth Proportional to 11,712.33, 16,163.01 and 6,407.15

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Solution

The fourth proportional to 11,712.33, 16,163.01 and 6,407.15 is: 8,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.33 : 16,163.01 = 6,407.15 : x
  2. Step 2: Convert to fraction form
    11,712.33/16,163.01 = 6,407.15/x
  3. Step 3: Cross multiply
    11,712.33x = 16,163.01 × 6,407.15
  4. Step 4: Simplify right side
    11,712.33x = 103,558,748.71
  5. Step 5: Solve for x
    x = 103,558,748.71/11,712.33
  6. Step 6: Final answer
    x = 8,841.86

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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.