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Finding the Fourth Proportional to 8,102.88, 12,177.12 and 4,816.56

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Solution

The fourth proportional to 8,102.88, 12,177.12 and 4,816.56 is: 7,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.88 : 12,177.12 = 4,816.56 : x
  2. Step 2: Convert to fraction form
    8,102.88/12,177.12 = 4,816.56/x
  3. Step 3: Cross multiply
    8,102.88x = 12,177.12 × 4,816.56
  4. Step 4: Simplify right side
    8,102.88x = 58,651,829.11
  5. Step 5: Solve for x
    x = 58,651,829.11/8,102.88
  6. Step 6: Final answer
    x = 7,238.39

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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.