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Finding the Fourth Proportional to 10,570.76, 15,850.20 and 5,294

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Solution

The fourth proportional to 10,570.76, 15,850.20 and 5,294 is: 7,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.76 : 15,850.20 = 5,294 : x
  2. Step 2: Convert to fraction form
    10,570.76/15,850.20 = 5,294/x
  3. Step 3: Cross multiply
    10,570.76x = 15,850.20 × 5,294
  4. Step 4: Simplify right side
    10,570.76x = 83,910,958.80
  5. Step 5: Solve for x
    x = 83,910,958.80/10,570.76
  6. Step 6: Final answer
    x = 7,938.03

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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.