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Finding the Fourth Proportional to 7,894.14, 11,842.49 and 2,964.16

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Solution

The fourth proportional to 7,894.14, 11,842.49 and 2,964.16 is: 4,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.14 : 11,842.49 = 2,964.16 : x
  2. Step 2: Convert to fraction form
    7,894.14/11,842.49 = 2,964.16/x
  3. Step 3: Cross multiply
    7,894.14x = 11,842.49 × 2,964.16
  4. Step 4: Simplify right side
    7,894.14x = 35,103,035.16
  5. Step 5: Solve for x
    x = 35,103,035.16/7,894.14
  6. Step 6: Final answer
    x = 4,446.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.