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Finding the Fourth Proportional to 7,726.96, 11,589.64 and 2,180.16

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Solution

The fourth proportional to 7,726.96, 11,589.64 and 2,180.16 is: 3,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.96 : 11,589.64 = 2,180.16 : x
  2. Step 2: Convert to fraction form
    7,726.96/11,589.64 = 2,180.16/x
  3. Step 3: Cross multiply
    7,726.96x = 11,589.64 × 2,180.16
  4. Step 4: Simplify right side
    7,726.96x = 25,267,269.54
  5. Step 5: Solve for x
    x = 25,267,269.54/7,726.96
  6. Step 6: Final answer
    x = 3,270.01

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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.