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Finding the Fourth Proportional to 7,399.64, 10,202.28 and 6,218.12

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Solution

The fourth proportional to 7,399.64, 10,202.28 and 6,218.12 is: 8,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399.64 : 10,202.28 = 6,218.12 : x
  2. Step 2: Convert to fraction form
    7,399.64/10,202.28 = 6,218.12/x
  3. Step 3: Cross multiply
    7,399.64x = 10,202.28 × 6,218.12
  4. Step 4: Simplify right side
    7,399.64x = 63,439,001.31
  5. Step 5: Solve for x
    x = 63,439,001.31/7,399.64
  6. Step 6: Final answer
    x = 8,573.26

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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.