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Finding the Fourth Proportional to 8,894.70, 13,341.78 and 2,320.92

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Solution

The fourth proportional to 8,894.70, 13,341.78 and 2,320.92 is: 3,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.70 : 13,341.78 = 2,320.92 : x
  2. Step 2: Convert to fraction form
    8,894.70/13,341.78 = 2,320.92/x
  3. Step 3: Cross multiply
    8,894.70x = 13,341.78 × 2,320.92
  4. Step 4: Simplify right side
    8,894.70x = 30,965,204.04
  5. Step 5: Solve for x
    x = 30,965,204.04/8,894.70
  6. Step 6: Final answer
    x = 3,481.31

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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.