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Finding the Fourth Proportional to 7,834.50, 10,805.49 and 4,851.99

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Solution

The fourth proportional to 7,834.50, 10,805.49 and 4,851.99 is: 6,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.50 : 10,805.49 = 4,851.99 : x
  2. Step 2: Convert to fraction form
    7,834.50/10,805.49 = 4,851.99/x
  3. Step 3: Cross multiply
    7,834.50x = 10,805.49 × 4,851.99
  4. Step 4: Simplify right side
    7,834.50x = 52,428,129.43
  5. Step 5: Solve for x
    x = 52,428,129.43/7,834.50
  6. Step 6: Final answer
    x = 6,691.96

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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.