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Finding the Fourth Proportional to 10,098.80, 15,115.80 and 7,182.80

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Solution

The fourth proportional to 10,098.80, 15,115.80 and 7,182.80 is: 10,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.80 : 15,115.80 = 7,182.80 : x
  2. Step 2: Convert to fraction form
    10,098.80/15,115.80 = 7,182.80/x
  3. Step 3: Cross multiply
    10,098.80x = 15,115.80 × 7,182.80
  4. Step 4: Simplify right side
    10,098.80x = 108,573,768.24
  5. Step 5: Solve for x
    x = 108,573,768.24/10,098.80
  6. Step 6: Final answer
    x = 10,751.16

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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.