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Finding the Fourth Proportional to 10,162.84, 15,243.78 and 4,963.48

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Solution

The fourth proportional to 10,162.84, 15,243.78 and 4,963.48 is: 7,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.84 : 15,243.78 = 4,963.48 : x
  2. Step 2: Convert to fraction form
    10,162.84/15,243.78 = 4,963.48/x
  3. Step 3: Cross multiply
    10,162.84x = 15,243.78 × 4,963.48
  4. Step 4: Simplify right side
    10,162.84x = 75,662,197.15
  5. Step 5: Solve for x
    x = 75,662,197.15/10,162.84
  6. Step 6: Final answer
    x = 7,444.99

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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.