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Finding the Fourth Proportional to 8,390.56, 12,581.16 and 5,761.12

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Solution

The fourth proportional to 8,390.56, 12,581.16 and 5,761.12 is: 8,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.56 : 12,581.16 = 5,761.12 : x
  2. Step 2: Convert to fraction form
    8,390.56/12,581.16 = 5,761.12/x
  3. Step 3: Cross multiply
    8,390.56x = 12,581.16 × 5,761.12
  4. Step 4: Simplify right side
    8,390.56x = 72,481,572.50
  5. Step 5: Solve for x
    x = 72,481,572.50/8,390.56
  6. Step 6: Final answer
    x = 8,638.47

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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.