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Finding the Fourth Proportional to 8,453.24, 12,678.50 and 2,831.00

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Solution

The fourth proportional to 8,453.24, 12,678.50 and 2,831.00 is: 4,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.24 : 12,678.50 = 2,831.00 : x
  2. Step 2: Convert to fraction form
    8,453.24/12,678.50 = 2,831.00/x
  3. Step 3: Cross multiply
    8,453.24x = 12,678.50 × 2,831.00
  4. Step 4: Simplify right side
    8,453.24x = 35,892,755.95
  5. Step 5: Solve for x
    x = 35,892,755.95/8,453.24
  6. Step 6: Final answer
    x = 4,246.04

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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.