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Finding the Fourth Proportional to 8,202.25, 11,319.11 and 5,060.26

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Solution

The fourth proportional to 8,202.25, 11,319.11 and 5,060.26 is: 6,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.25 : 11,319.11 = 5,060.26 : x
  2. Step 2: Convert to fraction form
    8,202.25/11,319.11 = 5,060.26/x
  3. Step 3: Cross multiply
    8,202.25x = 11,319.11 × 5,060.26
  4. Step 4: Simplify right side
    8,202.25x = 57,277,639.57
  5. Step 5: Solve for x
    x = 57,277,639.57/8,202.25
  6. Step 6: Final answer
    x = 6,983.16

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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.