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Finding the Fourth Proportional to 7,894.64, 11,848.78 and 3,217.23

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Solution

The fourth proportional to 7,894.64, 11,848.78 and 3,217.23 is: 4,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.64 : 11,848.78 = 3,217.23 : x
  2. Step 2: Convert to fraction form
    7,894.64/11,848.78 = 3,217.23/x
  3. Step 3: Cross multiply
    7,894.64x = 11,848.78 × 3,217.23
  4. Step 4: Simplify right side
    7,894.64x = 38,120,250.48
  5. Step 5: Solve for x
    x = 38,120,250.48/7,894.64
  6. Step 6: Final answer
    x = 4,828.62

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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.