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Finding the Fourth Proportional to 27,380.54, 41,064.52 and 7,660.49

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Solution

The fourth proportional to 27,380.54, 41,064.52 and 7,660.49 is: 11,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,380.54 : 41,064.52 = 7,660.49 : x
  2. Step 2: Convert to fraction form
    27,380.54/41,064.52 = 7,660.49/x
  3. Step 3: Cross multiply
    27,380.54x = 41,064.52 × 7,660.49
  4. Step 4: Simplify right side
    27,380.54x = 314,574,344.81
  5. Step 5: Solve for x
    x = 314,574,344.81/27,380.54
  6. Step 6: Final answer
    x = 11,488.98

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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.