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Finding the Fourth Proportional to 7,726.68, 10,661.22 and 4,581.72

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Solution

The fourth proportional to 7,726.68, 10,661.22 and 4,581.72 is: 6,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.68 : 10,661.22 = 4,581.72 : x
  2. Step 2: Convert to fraction form
    7,726.68/10,661.22 = 4,581.72/x
  3. Step 3: Cross multiply
    7,726.68x = 10,661.22 × 4,581.72
  4. Step 4: Simplify right side
    7,726.68x = 48,846,724.90
  5. Step 5: Solve for x
    x = 48,846,724.90/7,726.68
  6. Step 6: Final answer
    x = 6,321.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.