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Finding the Fourth Proportional to 8,203.28, 11,294.57 and 7,454.97

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Solution

The fourth proportional to 8,203.28, 11,294.57 and 7,454.97 is: 10,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.28 : 11,294.57 = 7,454.97 : x
  2. Step 2: Convert to fraction form
    8,203.28/11,294.57 = 7,454.97/x
  3. Step 3: Cross multiply
    8,203.28x = 11,294.57 × 7,454.97
  4. Step 4: Simplify right side
    8,203.28x = 84,200,699.15
  5. Step 5: Solve for x
    x = 84,200,699.15/8,203.28
  6. Step 6: Final answer
    x = 10,264.28

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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.