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Finding the Fourth Proportional to 7,901.49, 11,842 and 3,216.04

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Solution

The fourth proportional to 7,901.49, 11,842 and 3,216.04 is: 4,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.49 : 11,842 = 3,216.04 : x
  2. Step 2: Convert to fraction form
    7,901.49/11,842 = 3,216.04/x
  3. Step 3: Cross multiply
    7,901.49x = 11,842 × 3,216.04
  4. Step 4: Simplify right side
    7,901.49x = 38,084,345.68
  5. Step 5: Solve for x
    x = 38,084,345.68/7,901.49
  6. Step 6: Final answer
    x = 4,819.89

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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.