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Finding the Fourth Proportional to 10,520.74, 14,517.18 and 6,044.49

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Solution

The fourth proportional to 10,520.74, 14,517.18 and 6,044.49 is: 8,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.74 : 14,517.18 = 6,044.49 : x
  2. Step 2: Convert to fraction form
    10,520.74/14,517.18 = 6,044.49/x
  3. Step 3: Cross multiply
    10,520.74x = 14,517.18 × 6,044.49
  4. Step 4: Simplify right side
    10,520.74x = 87,748,949.34
  5. Step 5: Solve for x
    x = 87,748,949.34/10,520.74
  6. Step 6: Final answer
    x = 8,340.57

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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.