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Finding the Fourth Proportional to 10,593.50, 15,883.23 and 5,047.70

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Solution

The fourth proportional to 10,593.50, 15,883.23 and 5,047.70 is: 7,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.50 : 15,883.23 = 5,047.70 : x
  2. Step 2: Convert to fraction form
    10,593.50/15,883.23 = 5,047.70/x
  3. Step 3: Cross multiply
    10,593.50x = 15,883.23 × 5,047.70
  4. Step 4: Simplify right side
    10,593.50x = 80,173,780.07
  5. Step 5: Solve for x
    x = 80,173,780.07/10,593.50
  6. Step 6: Final answer
    x = 7,568.21

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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.