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Finding the Fourth Proportional to 8,902.24, 12,286.25 and 5,125.56

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Solution

The fourth proportional to 8,902.24, 12,286.25 and 5,125.56 is: 7,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.24 : 12,286.25 = 5,125.56 : x
  2. Step 2: Convert to fraction form
    8,902.24/12,286.25 = 5,125.56/x
  3. Step 3: Cross multiply
    8,902.24x = 12,286.25 × 5,125.56
  4. Step 4: Simplify right side
    8,902.24x = 62,973,924.36
  5. Step 5: Solve for x
    x = 62,973,924.36/8,902.24
  6. Step 6: Final answer
    x = 7,073.94

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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.