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Finding the Fourth Proportional to 7,642.32, 11,460.96 and 2,446.92

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Solution

The fourth proportional to 7,642.32, 11,460.96 and 2,446.92 is: 3,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.32 : 11,460.96 = 2,446.92 : x
  2. Step 2: Convert to fraction form
    7,642.32/11,460.96 = 2,446.92/x
  3. Step 3: Cross multiply
    7,642.32x = 11,460.96 × 2,446.92
  4. Step 4: Simplify right side
    7,642.32x = 28,044,052.24
  5. Step 5: Solve for x
    x = 28,044,052.24/7,642.32
  6. Step 6: Final answer
    x = 3,669.57

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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.