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Finding the Fourth Proportional to 11,414.66, 17,097.02 and 7,018.78

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Solution

The fourth proportional to 11,414.66, 17,097.02 and 7,018.78 is: 10,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.66 : 17,097.02 = 7,018.78 : x
  2. Step 2: Convert to fraction form
    11,414.66/17,097.02 = 7,018.78/x
  3. Step 3: Cross multiply
    11,414.66x = 17,097.02 × 7,018.78
  4. Step 4: Simplify right side
    11,414.66x = 120,000,222.04
  5. Step 5: Solve for x
    x = 120,000,222.04/11,414.66
  6. Step 6: Final answer
    x = 10,512.82

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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.