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Finding the Fourth Proportional to 8,202.04, 11,322.48 and 5,557.48

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Solution

The fourth proportional to 8,202.04, 11,322.48 and 5,557.48 is: 7,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.04 : 11,322.48 = 5,557.48 : x
  2. Step 2: Convert to fraction form
    8,202.04/11,322.48 = 5,557.48/x
  3. Step 3: Cross multiply
    8,202.04x = 11,322.48 × 5,557.48
  4. Step 4: Simplify right side
    8,202.04x = 62,924,456.15
  5. Step 5: Solve for x
    x = 62,924,456.15/8,202.04
  6. Step 6: Final answer
    x = 7,671.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.