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Finding the Fourth Proportional to 8,857.62, 13,288.07 and 3,663.90

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Solution

The fourth proportional to 8,857.62, 13,288.07 and 3,663.90 is: 5,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.62 : 13,288.07 = 3,663.90 : x
  2. Step 2: Convert to fraction form
    8,857.62/13,288.07 = 3,663.90/x
  3. Step 3: Cross multiply
    8,857.62x = 13,288.07 × 3,663.90
  4. Step 4: Simplify right side
    8,857.62x = 48,686,211.79
  5. Step 5: Solve for x
    x = 48,686,211.79/8,857.62
  6. Step 6: Final answer
    x = 5,496.53

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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.