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Finding the Fourth Proportional to 8,838.30, 13,257.45 and 7,974.30

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Solution

The fourth proportional to 8,838.30, 13,257.45 and 7,974.30 is: 11,961.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.30 : 13,257.45 = 7,974.30 : x
  2. Step 2: Convert to fraction form
    8,838.30/13,257.45 = 7,974.30/x
  3. Step 3: Cross multiply
    8,838.30x = 13,257.45 × 7,974.30
  4. Step 4: Simplify right side
    8,838.30x = 105,718,883.54
  5. Step 5: Solve for x
    x = 105,718,883.54/8,838.30
  6. Step 6: Final answer
    x = 11,961.45

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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.