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Finding the Fourth Proportional to 8,025.84, 12,036.60 and 2,831.04

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Solution

The fourth proportional to 8,025.84, 12,036.60 and 2,831.04 is: 4,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025.84 : 12,036.60 = 2,831.04 : x
  2. Step 2: Convert to fraction form
    8,025.84/12,036.60 = 2,831.04/x
  3. Step 3: Cross multiply
    8,025.84x = 12,036.60 × 2,831.04
  4. Step 4: Simplify right side
    8,025.84x = 34,076,096.06
  5. Step 5: Solve for x
    x = 34,076,096.06/8,025.84
  6. Step 6: Final answer
    x = 4,245.80

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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.