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Finding the Fourth Proportional to 11,882.00, 16,397.55 and 7,101.78

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Solution

The fourth proportional to 11,882.00, 16,397.55 and 7,101.78 is: 9,800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.00 : 16,397.55 = 7,101.78 : x
  2. Step 2: Convert to fraction form
    11,882.00/16,397.55 = 7,101.78/x
  3. Step 3: Cross multiply
    11,882.00x = 16,397.55 × 7,101.78
  4. Step 4: Simplify right side
    11,882.00x = 116,451,792.64
  5. Step 5: Solve for x
    x = 116,451,792.64/11,882.00
  6. Step 6: Final answer
    x = 9,800.69

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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.