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Finding the Fourth Proportional to 7,594.66, 11,392.80 and 3,212.56

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Solution

The fourth proportional to 7,594.66, 11,392.80 and 3,212.56 is: 4,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.66 : 11,392.80 = 3,212.56 : x
  2. Step 2: Convert to fraction form
    7,594.66/11,392.80 = 3,212.56/x
  3. Step 3: Cross multiply
    7,594.66x = 11,392.80 × 3,212.56
  4. Step 4: Simplify right side
    7,594.66x = 36,600,053.57
  5. Step 5: Solve for x
    x = 36,600,053.57/7,594.66
  6. Step 6: Final answer
    x = 4,819.18

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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.