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Finding the Fourth Proportional to 8,077.65, 12,116.44 and 2,154.52

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Solution

The fourth proportional to 8,077.65, 12,116.44 and 2,154.52 is: 3,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.65 : 12,116.44 = 2,154.52 : x
  2. Step 2: Convert to fraction form
    8,077.65/12,116.44 = 2,154.52/x
  3. Step 3: Cross multiply
    8,077.65x = 12,116.44 × 2,154.52
  4. Step 4: Simplify right side
    8,077.65x = 26,105,112.31
  5. Step 5: Solve for x
    x = 26,105,112.31/8,077.65
  6. Step 6: Final answer
    x = 3,231.77

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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.