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Finding the Fourth Proportional to 8,974.75, 12,385.16 and 5,248.75

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Solution

The fourth proportional to 8,974.75, 12,385.16 and 5,248.75 is: 7,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.75 : 12,385.16 = 5,248.75 : x
  2. Step 2: Convert to fraction form
    8,974.75/12,385.16 = 5,248.75/x
  3. Step 3: Cross multiply
    8,974.75x = 12,385.16 × 5,248.75
  4. Step 4: Simplify right side
    8,974.75x = 65,006,582.31
  5. Step 5: Solve for x
    x = 65,006,582.31/8,974.75
  6. Step 6: Final answer
    x = 7,243.28

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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.