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Finding the Fourth Proportional to 8,822.40, 13,233.60 and 7,947.60

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Solution

The fourth proportional to 8,822.40, 13,233.60 and 7,947.60 is: 11,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.40 : 13,233.60 = 7,947.60 : x
  2. Step 2: Convert to fraction form
    8,822.40/13,233.60 = 7,947.60/x
  3. Step 3: Cross multiply
    8,822.40x = 13,233.60 × 7,947.60
  4. Step 4: Simplify right side
    8,822.40x = 105,175,359.36
  5. Step 5: Solve for x
    x = 105,175,359.36/8,822.40
  6. Step 6: Final answer
    x = 11,921.40

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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.