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Finding the Fourth Proportional to 10,520.15, 14,519.38 and 6,747.57

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Solution

The fourth proportional to 10,520.15, 14,519.38 and 6,747.57 is: 9,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.15 : 14,519.38 = 6,747.57 : x
  2. Step 2: Convert to fraction form
    10,520.15/14,519.38 = 6,747.57/x
  3. Step 3: Cross multiply
    10,520.15x = 14,519.38 × 6,747.57
  4. Step 4: Simplify right side
    10,520.15x = 97,970,532.91
  5. Step 5: Solve for x
    x = 97,970,532.91/10,520.15
  6. Step 6: Final answer
    x = 9,312.66

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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.