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Finding the Fourth Proportional to 8,613.80, 11,885.20 and 5,634

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Solution

The fourth proportional to 8,613.80, 11,885.20 and 5,634 is: 7,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.80 : 11,885.20 = 5,634 : x
  2. Step 2: Convert to fraction form
    8,613.80/11,885.20 = 5,634/x
  3. Step 3: Cross multiply
    8,613.80x = 11,885.20 × 5,634
  4. Step 4: Simplify right side
    8,613.80x = 66,961,216.80
  5. Step 5: Solve for x
    x = 66,961,216.80/8,613.80
  6. Step 6: Final answer
    x = 7,773.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.