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Finding the Fourth Proportional to 10,644.62, 15,969.24 and 3,248.87

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Solution

The fourth proportional to 10,644.62, 15,969.24 and 3,248.87 is: 4,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.62 : 15,969.24 = 3,248.87 : x
  2. Step 2: Convert to fraction form
    10,644.62/15,969.24 = 3,248.87/x
  3. Step 3: Cross multiply
    10,644.62x = 15,969.24 × 3,248.87
  4. Step 4: Simplify right side
    10,644.62x = 51,882,012.63
  5. Step 5: Solve for x
    x = 51,882,012.63/10,644.62
  6. Step 6: Final answer
    x = 4,874.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.