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Finding the Fourth Proportional to 8,581.70, 12,874.76 and 5,026.82

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Solution

The fourth proportional to 8,581.70, 12,874.76 and 5,026.82 is: 7,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581.70 : 12,874.76 = 5,026.82 : x
  2. Step 2: Convert to fraction form
    8,581.70/12,874.76 = 5,026.82/x
  3. Step 3: Cross multiply
    8,581.70x = 12,874.76 × 5,026.82
  4. Step 4: Simplify right side
    8,581.70x = 64,719,049.26
  5. Step 5: Solve for x
    x = 64,719,049.26/8,581.70
  6. Step 6: Final answer
    x = 7,541.52

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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.