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Finding the Fourth Proportional to 8,673.80, 11,959.70 and 8,206.70

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Solution

The fourth proportional to 8,673.80, 11,959.70 and 8,206.70 is: 11,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673.80 : 11,959.70 = 8,206.70 : x
  2. Step 2: Convert to fraction form
    8,673.80/11,959.70 = 8,206.70/x
  3. Step 3: Cross multiply
    8,673.80x = 11,959.70 × 8,206.70
  4. Step 4: Simplify right side
    8,673.80x = 98,149,669.99
  5. Step 5: Solve for x
    x = 98,149,669.99/8,673.80
  6. Step 6: Final answer
    x = 11,315.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.