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Finding the Fourth Proportional to 8,152.81, 12,228.83 and 2,887.74

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Solution

The fourth proportional to 8,152.81, 12,228.83 and 2,887.74 is: 4,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.81 : 12,228.83 = 2,887.74 : x
  2. Step 2: Convert to fraction form
    8,152.81/12,228.83 = 2,887.74/x
  3. Step 3: Cross multiply
    8,152.81x = 12,228.83 × 2,887.74
  4. Step 4: Simplify right side
    8,152.81x = 35,313,652.56
  5. Step 5: Solve for x
    x = 35,313,652.56/8,152.81
  6. Step 6: Final answer
    x = 4,331.47

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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.