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Finding the Fourth Proportional to 10,264.43, 15,383.88 and 4,711.88

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Solution

The fourth proportional to 10,264.43, 15,383.88 and 4,711.88 is: 7,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.43 : 15,383.88 = 4,711.88 : x
  2. Step 2: Convert to fraction form
    10,264.43/15,383.88 = 4,711.88/x
  3. Step 3: Cross multiply
    10,264.43x = 15,383.88 × 4,711.88
  4. Step 4: Simplify right side
    10,264.43x = 72,486,996.49
  5. Step 5: Solve for x
    x = 72,486,996.49/10,264.43
  6. Step 6: Final answer
    x = 7,061.96

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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.