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Finding the Fourth Proportional to 7,923.88, 11,885.84 and 2,377.80

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Solution

The fourth proportional to 7,923.88, 11,885.84 and 2,377.80 is: 3,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.88 : 11,885.84 = 2,377.80 : x
  2. Step 2: Convert to fraction form
    7,923.88/11,885.84 = 2,377.80/x
  3. Step 3: Cross multiply
    7,923.88x = 11,885.84 × 2,377.80
  4. Step 4: Simplify right side
    7,923.88x = 28,262,150.35
  5. Step 5: Solve for x
    x = 28,262,150.35/7,923.88
  6. Step 6: Final answer
    x = 3,566.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.