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Finding the Fourth Proportional to 8,543.78, 12,817.38 and 3,613.40

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Solution

The fourth proportional to 8,543.78, 12,817.38 and 3,613.40 is: 5,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.78 : 12,817.38 = 3,613.40 : x
  2. Step 2: Convert to fraction form
    8,543.78/12,817.38 = 3,613.40/x
  3. Step 3: Cross multiply
    8,543.78x = 12,817.38 × 3,613.40
  4. Step 4: Simplify right side
    8,543.78x = 46,314,320.89
  5. Step 5: Solve for x
    x = 46,314,320.89/8,543.78
  6. Step 6: Final answer
    x = 5,420.82

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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.