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Finding the Fourth Proportional to 10,320, 15,481.92 and 4,848

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Solution

The fourth proportional to 10,320, 15,481.92 and 4,848 is: 7,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320 : 15,481.92 = 4,848 : x
  2. Step 2: Convert to fraction form
    10,320/15,481.92 = 4,848/x
  3. Step 3: Cross multiply
    10,320x = 15,481.92 × 4,848
  4. Step 4: Simplify right side
    10,320x = 75,056,348.16
  5. Step 5: Solve for x
    x = 75,056,348.16/10,320
  6. Step 6: Final answer
    x = 7,272.90

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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.