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Finding the Fourth Proportional to 7,696.29, 11,535.31 and 3,532.78

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Solution

The fourth proportional to 7,696.29, 11,535.31 and 3,532.78 is: 5,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.29 : 11,535.31 = 3,532.78 : x
  2. Step 2: Convert to fraction form
    7,696.29/11,535.31 = 3,532.78/x
  3. Step 3: Cross multiply
    7,696.29x = 11,535.31 × 3,532.78
  4. Step 4: Simplify right side
    7,696.29x = 40,751,712.46
  5. Step 5: Solve for x
    x = 40,751,712.46/7,696.29
  6. Step 6: Final answer
    x = 5,294.98

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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.