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Finding the Fourth Proportional to 7,876.91, 11,813.65 and 2,329.31

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Solution

The fourth proportional to 7,876.91, 11,813.65 and 2,329.31 is: 3,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.91 : 11,813.65 = 2,329.31 : x
  2. Step 2: Convert to fraction form
    7,876.91/11,813.65 = 2,329.31/x
  3. Step 3: Cross multiply
    7,876.91x = 11,813.65 × 2,329.31
  4. Step 4: Simplify right side
    7,876.91x = 27,517,653.08
  5. Step 5: Solve for x
    x = 27,517,653.08/7,876.91
  6. Step 6: Final answer
    x = 3,493.46

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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.