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Finding the Fourth Proportional to 7,589.42, 11,376.92 and 2,655.84

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Solution

The fourth proportional to 7,589.42, 11,376.92 and 2,655.84 is: 3,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.42 : 11,376.92 = 2,655.84 : x
  2. Step 2: Convert to fraction form
    7,589.42/11,376.92 = 2,655.84/x
  3. Step 3: Cross multiply
    7,589.42x = 11,376.92 × 2,655.84
  4. Step 4: Simplify right side
    7,589.42x = 30,215,279.21
  5. Step 5: Solve for x
    x = 30,215,279.21/7,589.42
  6. Step 6: Final answer
    x = 3,981.24

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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.