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Finding the Fourth Proportional to 10,159.68, 15,241.16 and 4,612.80

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Solution

The fourth proportional to 10,159.68, 15,241.16 and 4,612.80 is: 6,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.68 : 15,241.16 = 4,612.80 : x
  2. Step 2: Convert to fraction form
    10,159.68/15,241.16 = 4,612.80/x
  3. Step 3: Cross multiply
    10,159.68x = 15,241.16 × 4,612.80
  4. Step 4: Simplify right side
    10,159.68x = 70,304,422.85
  5. Step 5: Solve for x
    x = 70,304,422.85/10,159.68
  6. Step 6: Final answer
    x = 6,919.94

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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.