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Finding the Fourth Proportional to 11,841.20, 17,752.82 and 7,160.10

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Solution

The fourth proportional to 11,841.20, 17,752.82 and 7,160.10 is: 10,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.20 : 17,752.82 = 7,160.10 : x
  2. Step 2: Convert to fraction form
    11,841.20/17,752.82 = 7,160.10/x
  3. Step 3: Cross multiply
    11,841.20x = 17,752.82 × 7,160.10
  4. Step 4: Simplify right side
    11,841.20x = 127,111,966.48
  5. Step 5: Solve for x
    x = 127,111,966.48/11,841.20
  6. Step 6: Final answer
    x = 10,734.72

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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.