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Finding the Fourth Proportional to 8,602.80, 11,864.04 and 5,617.68

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Solution

The fourth proportional to 8,602.80, 11,864.04 and 5,617.68 is: 7,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.80 : 11,864.04 = 5,617.68 : x
  2. Step 2: Convert to fraction form
    8,602.80/11,864.04 = 5,617.68/x
  3. Step 3: Cross multiply
    8,602.80x = 11,864.04 × 5,617.68
  4. Step 4: Simplify right side
    8,602.80x = 66,648,380.23
  5. Step 5: Solve for x
    x = 66,648,380.23/8,602.80
  6. Step 6: Final answer
    x = 7,747.29

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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.