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Finding the Fourth Proportional to 6,800.90, 10,206.81 and 3,514.95

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Solution

The fourth proportional to 6,800.90, 10,206.81 and 3,514.95 is: 5,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.90 : 10,206.81 = 3,514.95 : x
  2. Step 2: Convert to fraction form
    6,800.90/10,206.81 = 3,514.95/x
  3. Step 3: Cross multiply
    6,800.90x = 10,206.81 × 3,514.95
  4. Step 4: Simplify right side
    6,800.90x = 35,876,426.81
  5. Step 5: Solve for x
    x = 35,876,426.81/6,800.90
  6. Step 6: Final answer
    x = 5,275.25

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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.