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Finding the Fourth Proportional to 10,341.50, 15,512.22 and 4,494.92

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Solution

The fourth proportional to 10,341.50, 15,512.22 and 4,494.92 is: 6,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.50 : 15,512.22 = 4,494.92 : x
  2. Step 2: Convert to fraction form
    10,341.50/15,512.22 = 4,494.92/x
  3. Step 3: Cross multiply
    10,341.50x = 15,512.22 × 4,494.92
  4. Step 4: Simplify right side
    10,341.50x = 69,726,187.92
  5. Step 5: Solve for x
    x = 69,726,187.92/10,341.50
  6. Step 6: Final answer
    x = 6,742.37

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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.