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Finding the Fourth Proportional to 6,902.97, 10,345.82 and 5,436.33

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Solution

The fourth proportional to 6,902.97, 10,345.82 and 5,436.33 is: 8,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.97 : 10,345.82 = 5,436.33 : x
  2. Step 2: Convert to fraction form
    6,902.97/10,345.82 = 5,436.33/x
  3. Step 3: Cross multiply
    6,902.97x = 10,345.82 × 5,436.33
  4. Step 4: Simplify right side
    6,902.97x = 56,243,264.46
  5. Step 5: Solve for x
    x = 56,243,264.46/6,902.97
  6. Step 6: Final answer
    x = 8,147.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.