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Finding the Fourth Proportional to 7,752.06, 11,618.52 and 3,586.33

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Solution

The fourth proportional to 7,752.06, 11,618.52 and 3,586.33 is: 5,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.06 : 11,618.52 = 3,586.33 : x
  2. Step 2: Convert to fraction form
    7,752.06/11,618.52 = 3,586.33/x
  3. Step 3: Cross multiply
    7,752.06x = 11,618.52 × 3,586.33
  4. Step 4: Simplify right side
    7,752.06x = 41,667,846.83
  5. Step 5: Solve for x
    x = 41,667,846.83/7,752.06
  6. Step 6: Final answer
    x = 5,375.07

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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.