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Finding the Fourth Proportional to 7,758.06, 11,641.95 and 3,141.06

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Solution

The fourth proportional to 7,758.06, 11,641.95 and 3,141.06 is: 4,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.06 : 11,641.95 = 3,141.06 : x
  2. Step 2: Convert to fraction form
    7,758.06/11,641.95 = 3,141.06/x
  3. Step 3: Cross multiply
    7,758.06x = 11,641.95 × 3,141.06
  4. Step 4: Simplify right side
    7,758.06x = 36,568,063.47
  5. Step 5: Solve for x
    x = 36,568,063.47/7,758.06
  6. Step 6: Final answer
    x = 4,713.56

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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.