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Finding the Fourth Proportional to 8,053.17, 12,080.16 and 2,209.65

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Solution

The fourth proportional to 8,053.17, 12,080.16 and 2,209.65 is: 3,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.17 : 12,080.16 = 2,209.65 : x
  2. Step 2: Convert to fraction form
    8,053.17/12,080.16 = 2,209.65/x
  3. Step 3: Cross multiply
    8,053.17x = 12,080.16 × 2,209.65
  4. Step 4: Simplify right side
    8,053.17x = 26,692,925.54
  5. Step 5: Solve for x
    x = 26,692,925.54/8,053.17
  6. Step 6: Final answer
    x = 3,314.59

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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.