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Finding the Fourth Proportional to 8,543.67, 12,798.49 and 5,613.09

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Solution

The fourth proportional to 8,543.67, 12,798.49 and 5,613.09 is: 8,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.67 : 12,798.49 = 5,613.09 : x
  2. Step 2: Convert to fraction form
    8,543.67/12,798.49 = 5,613.09/x
  3. Step 3: Cross multiply
    8,543.67x = 12,798.49 × 5,613.09
  4. Step 4: Simplify right side
    8,543.67x = 71,839,076.23
  5. Step 5: Solve for x
    x = 71,839,076.23/8,543.67
  6. Step 6: Final answer
    x = 8,408.46

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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.