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Finding the Fourth Proportional to 10,363.40, 15,514.62 and 6,846.92

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Solution

The fourth proportional to 10,363.40, 15,514.62 and 6,846.92 is: 10,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.40 : 15,514.62 = 6,846.92 : x
  2. Step 2: Convert to fraction form
    10,363.40/15,514.62 = 6,846.92/x
  3. Step 3: Cross multiply
    10,363.40x = 15,514.62 × 6,846.92
  4. Step 4: Simplify right side
    10,363.40x = 106,227,361.97
  5. Step 5: Solve for x
    x = 106,227,361.97/10,363.40
  6. Step 6: Final answer
    x = 10,250.24

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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.