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Finding the Fourth Proportional to 8,160.64, 12,228.18 and 5,959.24

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Solution

The fourth proportional to 8,160.64, 12,228.18 and 5,959.24 is: 8,929.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.64 : 12,228.18 = 5,959.24 : x
  2. Step 2: Convert to fraction form
    8,160.64/12,228.18 = 5,959.24/x
  3. Step 3: Cross multiply
    8,160.64x = 12,228.18 × 5,959.24
  4. Step 4: Simplify right side
    8,160.64x = 72,870,659.38
  5. Step 5: Solve for x
    x = 72,870,659.38/8,160.64
  6. Step 6: Final answer
    x = 8,929.53

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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.