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Finding the Fourth Proportional to 11,882.77, 16,397.11 and 7,101.76

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Solution

The fourth proportional to 11,882.77, 16,397.11 and 7,101.76 is: 9,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.77 : 16,397.11 = 7,101.76 : x
  2. Step 2: Convert to fraction form
    11,882.77/16,397.11 = 7,101.76/x
  3. Step 3: Cross multiply
    11,882.77x = 16,397.11 × 7,101.76
  4. Step 4: Simplify right side
    11,882.77x = 116,448,304.40
  5. Step 5: Solve for x
    x = 116,448,304.40/11,882.77
  6. Step 6: Final answer
    x = 9,799.76

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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.