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Finding the Fourth Proportional to 10,159.31, 15,241.79 and 4,239

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Solution

The fourth proportional to 10,159.31, 15,241.79 and 4,239 is: 6,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.31 : 15,241.79 = 4,239 : x
  2. Step 2: Convert to fraction form
    10,159.31/15,241.79 = 4,239/x
  3. Step 3: Cross multiply
    10,159.31x = 15,241.79 × 4,239
  4. Step 4: Simplify right side
    10,159.31x = 64,609,958.41
  5. Step 5: Solve for x
    x = 64,609,958.41/10,159.31
  6. Step 6: Final answer
    x = 6,359.68

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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.