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Finding the Fourth Proportional to 8,202.57, 11,294.15 and 6,802.89

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Solution

The fourth proportional to 8,202.57, 11,294.15 and 6,802.89 is: 9,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.57 : 11,294.15 = 6,802.89 : x
  2. Step 2: Convert to fraction form
    8,202.57/11,294.15 = 6,802.89/x
  3. Step 3: Cross multiply
    8,202.57x = 11,294.15 × 6,802.89
  4. Step 4: Simplify right side
    8,202.57x = 76,832,826.08
  5. Step 5: Solve for x
    x = 76,832,826.08/8,202.57
  6. Step 6: Final answer
    x = 9,366.92

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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.