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Finding the Fourth Proportional to 8,617.74, 11,897.34 and 5,636.64

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Solution

The fourth proportional to 8,617.74, 11,897.34 and 5,636.64 is: 7,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.74 : 11,897.34 = 5,636.64 : x
  2. Step 2: Convert to fraction form
    8,617.74/11,897.34 = 5,636.64/x
  3. Step 3: Cross multiply
    8,617.74x = 11,897.34 × 5,636.64
  4. Step 4: Simplify right side
    8,617.74x = 67,061,022.54
  5. Step 5: Solve for x
    x = 67,061,022.54/8,617.74
  6. Step 6: Final answer
    x = 7,781.74

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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.