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Finding the Fourth Proportional to 8,153.78, 12,228.21 and 4,256.06

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Solution

The fourth proportional to 8,153.78, 12,228.21 and 4,256.06 is: 6,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.78 : 12,228.21 = 4,256.06 : x
  2. Step 2: Convert to fraction form
    8,153.78/12,228.21 = 4,256.06/x
  3. Step 3: Cross multiply
    8,153.78x = 12,228.21 × 4,256.06
  4. Step 4: Simplify right side
    8,153.78x = 52,043,934.31
  5. Step 5: Solve for x
    x = 52,043,934.31/8,153.78
  6. Step 6: Final answer
    x = 6,382.80

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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.