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Finding the Fourth Proportional to 8,206.73, 11,340.62 and 6,714.11

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Solution

The fourth proportional to 8,206.73, 11,340.62 and 6,714.11 is: 9,278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.73 : 11,340.62 = 6,714.11 : x
  2. Step 2: Convert to fraction form
    8,206.73/11,340.62 = 6,714.11/x
  3. Step 3: Cross multiply
    8,206.73x = 11,340.62 × 6,714.11
  4. Step 4: Simplify right side
    8,206.73x = 76,142,079.87
  5. Step 5: Solve for x
    x = 76,142,079.87/8,206.73
  6. Step 6: Final answer
    x = 9,278.01

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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.