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Finding the Fourth Proportional to 7,726.59, 11,591.84 and 4,215.65

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Solution

The fourth proportional to 7,726.59, 11,591.84 and 4,215.65 is: 6,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.59 : 11,591.84 = 4,215.65 : x
  2. Step 2: Convert to fraction form
    7,726.59/11,591.84 = 4,215.65/x
  3. Step 3: Cross multiply
    7,726.59x = 11,591.84 × 4,215.65
  4. Step 4: Simplify right side
    7,726.59x = 48,867,092.88
  5. Step 5: Solve for x
    x = 48,867,092.88/7,726.59
  6. Step 6: Final answer
    x = 6,324.54

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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.