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Finding the Fourth Proportional to 10,578.75, 15,868.23 and 4,337.16

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Solution

The fourth proportional to 10,578.75, 15,868.23 and 4,337.16 is: 6,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.75 : 15,868.23 = 4,337.16 : x
  2. Step 2: Convert to fraction form
    10,578.75/15,868.23 = 4,337.16/x
  3. Step 3: Cross multiply
    10,578.75x = 15,868.23 × 4,337.16
  4. Step 4: Simplify right side
    10,578.75x = 68,823,052.43
  5. Step 5: Solve for x
    x = 68,823,052.43/10,578.75
  6. Step 6: Final answer
    x = 6,505.78

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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.