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Finding the Fourth Proportional to 7,877.16, 11,814.03 and 2,329.56

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Solution

The fourth proportional to 7,877.16, 11,814.03 and 2,329.56 is: 3,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.16 : 11,814.03 = 2,329.56 : x
  2. Step 2: Convert to fraction form
    7,877.16/11,814.03 = 2,329.56/x
  3. Step 3: Cross multiply
    7,877.16x = 11,814.03 × 2,329.56
  4. Step 4: Simplify right side
    7,877.16x = 27,521,491.73
  5. Step 5: Solve for x
    x = 27,521,491.73/7,877.16
  6. Step 6: Final answer
    x = 3,493.83

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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.