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Finding the Fourth Proportional to 10,580.90, 15,871.20 and 2,575.70

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Solution

The fourth proportional to 10,580.90, 15,871.20 and 2,575.70 is: 3,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.90 : 15,871.20 = 2,575.70 : x
  2. Step 2: Convert to fraction form
    10,580.90/15,871.20 = 2,575.70/x
  3. Step 3: Cross multiply
    10,580.90x = 15,871.20 × 2,575.70
  4. Step 4: Simplify right side
    10,580.90x = 40,879,370.48
  5. Step 5: Solve for x
    x = 40,879,370.48/10,580.90
  6. Step 6: Final answer
    x = 3,863.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.