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Finding the Fourth Proportional to 11,651.52, 17,461.92 and 4,722.24

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Solution

The fourth proportional to 11,651.52, 17,461.92 and 4,722.24 is: 7,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.52 : 17,461.92 = 4,722.24 : x
  2. Step 2: Convert to fraction form
    11,651.52/17,461.92 = 4,722.24/x
  3. Step 3: Cross multiply
    11,651.52x = 17,461.92 × 4,722.24
  4. Step 4: Simplify right side
    11,651.52x = 82,459,377.10
  5. Step 5: Solve for x
    x = 82,459,377.10/11,651.52
  6. Step 6: Final answer
    x = 7,077.13

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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.