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Finding the Fourth Proportional to 8,542.48, 12,806.10 and 4,595.86

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Solution

The fourth proportional to 8,542.48, 12,806.10 and 4,595.86 is: 6,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.48 : 12,806.10 = 4,595.86 : x
  2. Step 2: Convert to fraction form
    8,542.48/12,806.10 = 4,595.86/x
  3. Step 3: Cross multiply
    8,542.48x = 12,806.10 × 4,595.86
  4. Step 4: Simplify right side
    8,542.48x = 58,854,986.72
  5. Step 5: Solve for x
    x = 58,854,986.72/8,542.48
  6. Step 6: Final answer
    x = 6,889.68

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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.