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Finding the Fourth Proportional to 10,660.41, 15,993.25 and 3,264.50

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Solution

The fourth proportional to 10,660.41, 15,993.25 and 3,264.50 is: 4,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.41 : 15,993.25 = 3,264.50 : x
  2. Step 2: Convert to fraction form
    10,660.41/15,993.25 = 3,264.50/x
  3. Step 3: Cross multiply
    10,660.41x = 15,993.25 × 3,264.50
  4. Step 4: Simplify right side
    10,660.41x = 52,209,996.45
  5. Step 5: Solve for x
    x = 52,209,996.45/10,660.41
  6. Step 6: Final answer
    x = 4,897.56

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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.