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Finding the Fourth Proportional to 8,202.56, 12,304.16 and 4,667.36

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Solution

The fourth proportional to 8,202.56, 12,304.16 and 4,667.36 is: 7,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.56 : 12,304.16 = 4,667.36 : x
  2. Step 2: Convert to fraction form
    8,202.56/12,304.16 = 4,667.36/x
  3. Step 3: Cross multiply
    8,202.56x = 12,304.16 × 4,667.36
  4. Step 4: Simplify right side
    8,202.56x = 57,427,944.22
  5. Step 5: Solve for x
    x = 57,427,944.22/8,202.56
  6. Step 6: Final answer
    x = 7,001.22

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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.