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Finding the Fourth Proportional to 11,961.60, 17,934.72 and 5,034.24

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Solution

The fourth proportional to 11,961.60, 17,934.72 and 5,034.24 is: 7,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.60 : 17,934.72 = 5,034.24 : x
  2. Step 2: Convert to fraction form
    11,961.60/17,934.72 = 5,034.24/x
  3. Step 3: Cross multiply
    11,961.60x = 17,934.72 × 5,034.24
  4. Step 4: Simplify right side
    11,961.60x = 90,287,684.81
  5. Step 5: Solve for x
    x = 90,287,684.81/11,961.60
  6. Step 6: Final answer
    x = 7,548.13

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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.