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Finding the Fourth Proportional to 8,542, 12,806.76 and 5,761.76

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Solution

The fourth proportional to 8,542, 12,806.76 and 5,761.76 is: 8,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542 : 12,806.76 = 5,761.76 : x
  2. Step 2: Convert to fraction form
    8,542/12,806.76 = 5,761.76/x
  3. Step 3: Cross multiply
    8,542x = 12,806.76 × 5,761.76
  4. Step 4: Simplify right side
    8,542x = 73,789,477.50
  5. Step 5: Solve for x
    x = 73,789,477.50/8,542
  6. Step 6: Final answer
    x = 8,638.43

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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.