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Finding the Fourth Proportional to 6,833.80, 10,230.78 and 5,197

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Solution

The fourth proportional to 6,833.80, 10,230.78 and 5,197 is: 7,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.80 : 10,230.78 = 5,197 : x
  2. Step 2: Convert to fraction form
    6,833.80/10,230.78 = 5,197/x
  3. Step 3: Cross multiply
    6,833.80x = 10,230.78 × 5,197
  4. Step 4: Simplify right side
    6,833.80x = 53,169,363.66
  5. Step 5: Solve for x
    x = 53,169,363.66/6,833.80
  6. Step 6: Final answer
    x = 7,780.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.