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Finding the Fourth Proportional to 7,894.63, 11,833.71 and 3,212.76

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Solution

The fourth proportional to 7,894.63, 11,833.71 and 3,212.76 is: 4,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.63 : 11,833.71 = 3,212.76 : x
  2. Step 2: Convert to fraction form
    7,894.63/11,833.71 = 3,212.76/x
  3. Step 3: Cross multiply
    7,894.63x = 11,833.71 × 3,212.76
  4. Step 4: Simplify right side
    7,894.63x = 38,018,870.14
  5. Step 5: Solve for x
    x = 38,018,870.14/7,894.63
  6. Step 6: Final answer
    x = 4,815.79

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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.