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Finding the Fourth Proportional to 8,097.64, 12,143.38 and 2,831.32

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Solution

The fourth proportional to 8,097.64, 12,143.38 and 2,831.32 is: 4,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.64 : 12,143.38 = 2,831.32 : x
  2. Step 2: Convert to fraction form
    8,097.64/12,143.38 = 2,831.32/x
  3. Step 3: Cross multiply
    8,097.64x = 12,143.38 × 2,831.32
  4. Step 4: Simplify right side
    8,097.64x = 34,381,794.66
  5. Step 5: Solve for x
    x = 34,381,794.66/8,097.64
  6. Step 6: Final answer
    x = 4,245.90

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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.