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Finding the Fourth Proportional to 11,414.00, 17,126.66 and 7,708.10

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Solution

The fourth proportional to 11,414.00, 17,126.66 and 7,708.10 is: 11,565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.00 : 17,126.66 = 7,708.10 : x
  2. Step 2: Convert to fraction form
    11,414.00/17,126.66 = 7,708.10/x
  3. Step 3: Cross multiply
    11,414.00x = 17,126.66 × 7,708.10
  4. Step 4: Simplify right side
    11,414.00x = 132,013,941.58
  5. Step 5: Solve for x
    x = 132,013,941.58/11,414.00
  6. Step 6: Final answer
    x = 11,565.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.