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Finding the Fourth Proportional to 7,575.44, 11,364.42 and 2,381

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Solution

The fourth proportional to 7,575.44, 11,364.42 and 2,381 is: 3,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.44 : 11,364.42 = 2,381 : x
  2. Step 2: Convert to fraction form
    7,575.44/11,364.42 = 2,381/x
  3. Step 3: Cross multiply
    7,575.44x = 11,364.42 × 2,381
  4. Step 4: Simplify right side
    7,575.44x = 27,058,684.02
  5. Step 5: Solve for x
    x = 27,058,684.02/7,575.44
  6. Step 6: Final answer
    x = 3,571.90

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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.