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Finding the Fourth Proportional to 11,432.39, 15,769.63 and 7,845.71

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Solution

The fourth proportional to 11,432.39, 15,769.63 and 7,845.71 is: 10,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.39 : 15,769.63 = 7,845.71 : x
  2. Step 2: Convert to fraction form
    11,432.39/15,769.63 = 7,845.71/x
  3. Step 3: Cross multiply
    11,432.39x = 15,769.63 × 7,845.71
  4. Step 4: Simplify right side
    11,432.39x = 123,723,943.79
  5. Step 5: Solve for x
    x = 123,723,943.79/11,432.39
  6. Step 6: Final answer
    x = 10,822.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.