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Finding the Fourth Proportional to 10,393.43, 15,591.47 and 4,769.74

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Solution

The fourth proportional to 10,393.43, 15,591.47 and 4,769.74 is: 7,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.43 : 15,591.47 = 4,769.74 : x
  2. Step 2: Convert to fraction form
    10,393.43/15,591.47 = 4,769.74/x
  3. Step 3: Cross multiply
    10,393.43x = 15,591.47 × 4,769.74
  4. Step 4: Simplify right side
    10,393.43x = 74,367,192.89
  5. Step 5: Solve for x
    x = 74,367,192.89/10,393.43
  6. Step 6: Final answer
    x = 7,155.21

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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.