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Finding the Fourth Proportional to 7,982.25, 11,889.06 and 7,565.91

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Solution

The fourth proportional to 7,982.25, 11,889.06 and 7,565.91 is: 11,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.25 : 11,889.06 = 7,565.91 : x
  2. Step 2: Convert to fraction form
    7,982.25/11,889.06 = 7,565.91/x
  3. Step 3: Cross multiply
    7,982.25x = 11,889.06 × 7,565.91
  4. Step 4: Simplify right side
    7,982.25x = 89,951,557.94
  5. Step 5: Solve for x
    x = 89,951,557.94/7,982.25
  6. Step 6: Final answer
    x = 11,268.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.