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Finding the Fourth Proportional to 10,271.92, 15,409.78 and 3,253.70

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Solution

The fourth proportional to 10,271.92, 15,409.78 and 3,253.70 is: 4,881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.92 : 15,409.78 = 3,253.70 : x
  2. Step 2: Convert to fraction form
    10,271.92/15,409.78 = 3,253.70/x
  3. Step 3: Cross multiply
    10,271.92x = 15,409.78 × 3,253.70
  4. Step 4: Simplify right side
    10,271.92x = 50,138,801.19
  5. Step 5: Solve for x
    x = 50,138,801.19/10,271.92
  6. Step 6: Final answer
    x = 4,881.15

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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.