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Finding the Fourth Proportional to 10,267.59, 15,398.64 and 2,871.57

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Solution

The fourth proportional to 10,267.59, 15,398.64 and 2,871.57 is: 4,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.59 : 15,398.64 = 2,871.57 : x
  2. Step 2: Convert to fraction form
    10,267.59/15,398.64 = 2,871.57/x
  3. Step 3: Cross multiply
    10,267.59x = 15,398.64 × 2,871.57
  4. Step 4: Simplify right side
    10,267.59x = 44,218,272.66
  5. Step 5: Solve for x
    x = 44,218,272.66/10,267.59
  6. Step 6: Final answer
    x = 4,306.59

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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.