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Finding the Fourth Proportional to 10,097.16, 15,144.55 and 2,702.19

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Solution

The fourth proportional to 10,097.16, 15,144.55 and 2,702.19 is: 4,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.16 : 15,144.55 = 2,702.19 : x
  2. Step 2: Convert to fraction form
    10,097.16/15,144.55 = 2,702.19/x
  3. Step 3: Cross multiply
    10,097.16x = 15,144.55 × 2,702.19
  4. Step 4: Simplify right side
    10,097.16x = 40,923,451.56
  5. Step 5: Solve for x
    x = 40,923,451.56/10,097.16
  6. Step 6: Final answer
    x = 4,052.97

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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.