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Finding the Fourth Proportional to 27,305.34, 40,958.02 and 7,583.90

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Solution

The fourth proportional to 27,305.34, 40,958.02 and 7,583.90 is: 11,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,305.34 : 40,958.02 = 7,583.90 : x
  2. Step 2: Convert to fraction form
    27,305.34/40,958.02 = 7,583.90/x
  3. Step 3: Cross multiply
    27,305.34x = 40,958.02 × 7,583.90
  4. Step 4: Simplify right side
    27,305.34x = 310,621,332.57
  5. Step 5: Solve for x
    x = 310,621,332.57/27,305.34
  6. Step 6: Final answer
    x = 11,375.85

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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.