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Finding the Fourth Proportional to 10,261.41, 15,391.89 and 2,865.71

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Solution

The fourth proportional to 10,261.41, 15,391.89 and 2,865.71 is: 4,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.41 : 15,391.89 = 2,865.71 : x
  2. Step 2: Convert to fraction form
    10,261.41/15,391.89 = 2,865.71/x
  3. Step 3: Cross multiply
    10,261.41x = 15,391.89 × 2,865.71
  4. Step 4: Simplify right side
    10,261.41x = 44,108,616.13
  5. Step 5: Solve for x
    x = 44,108,616.13/10,261.41
  6. Step 6: Final answer
    x = 4,298.49

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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.