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Finding the Fourth Proportional to 11,781.52, 17,671.72 and 3,461.20

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Solution

The fourth proportional to 11,781.52, 17,671.72 and 3,461.20 is: 5,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.52 : 17,671.72 = 3,461.20 : x
  2. Step 2: Convert to fraction form
    11,781.52/17,671.72 = 3,461.20/x
  3. Step 3: Cross multiply
    11,781.52x = 17,671.72 × 3,461.20
  4. Step 4: Simplify right side
    11,781.52x = 61,165,357.26
  5. Step 5: Solve for x
    x = 61,165,357.26/11,781.52
  6. Step 6: Final answer
    x = 5,191.64

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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.