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Finding the Fourth Proportional to 10,391.92, 15,593.09 and 4,845.70

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Solution

The fourth proportional to 10,391.92, 15,593.09 and 4,845.70 is: 7,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.92 : 15,593.09 = 4,845.70 : x
  2. Step 2: Convert to fraction form
    10,391.92/15,593.09 = 4,845.70/x
  3. Step 3: Cross multiply
    10,391.92x = 15,593.09 × 4,845.70
  4. Step 4: Simplify right side
    10,391.92x = 75,559,409.34
  5. Step 5: Solve for x
    x = 75,559,409.34/10,391.92
  6. Step 6: Final answer
    x = 7,270.98

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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.