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Finding the Fourth Proportional to 10,294.20, 14,205.90 and 6,044.52

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Solution

The fourth proportional to 10,294.20, 14,205.90 and 6,044.52 is: 8,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.20 : 14,205.90 = 6,044.52 : x
  2. Step 2: Convert to fraction form
    10,294.20/14,205.90 = 6,044.52/x
  3. Step 3: Cross multiply
    10,294.20x = 14,205.90 × 6,044.52
  4. Step 4: Simplify right side
    10,294.20x = 85,867,846.67
  5. Step 5: Solve for x
    x = 85,867,846.67/10,294.20
  6. Step 6: Final answer
    x = 8,341.38

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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.