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Finding the Fourth Proportional to 10,354.92, 14,290.38 and 6,380.28

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Solution

The fourth proportional to 10,354.92, 14,290.38 and 6,380.28 is: 8,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.92 : 14,290.38 = 6,380.28 : x
  2. Step 2: Convert to fraction form
    10,354.92/14,290.38 = 6,380.28/x
  3. Step 3: Cross multiply
    10,354.92x = 14,290.38 × 6,380.28
  4. Step 4: Simplify right side
    10,354.92x = 91,176,625.71
  5. Step 5: Solve for x
    x = 91,176,625.71/10,354.92
  6. Step 6: Final answer
    x = 8,805.15

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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.