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Finding the Fourth Proportional to 27,594.65, 41,392.34 and 7,873.20

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Solution

The fourth proportional to 27,594.65, 41,392.34 and 7,873.20 is: 11,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594.65 : 41,392.34 = 7,873.20 : x
  2. Step 2: Convert to fraction form
    27,594.65/41,392.34 = 7,873.20/x
  3. Step 3: Cross multiply
    27,594.65x = 41,392.34 × 7,873.20
  4. Step 4: Simplify right side
    27,594.65x = 325,890,161.45
  5. Step 5: Solve for x
    x = 325,890,161.45/27,594.65
  6. Step 6: Final answer
    x = 11,809.90

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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.