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Finding the Fourth Proportional to 7,642.36, 11,460.84 and 2,446.84

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Solution

The fourth proportional to 7,642.36, 11,460.84 and 2,446.84 is: 3,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.36 : 11,460.84 = 2,446.84 : x
  2. Step 2: Convert to fraction form
    7,642.36/11,460.84 = 2,446.84/x
  3. Step 3: Cross multiply
    7,642.36x = 11,460.84 × 2,446.84
  4. Step 4: Simplify right side
    7,642.36x = 28,042,841.75
  5. Step 5: Solve for x
    x = 28,042,841.75/7,642.36
  6. Step 6: Final answer
    x = 3,669.40

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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.