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Finding the Fourth Proportional to 7,876.56, 11,816.64 and 2,613.24

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Solution

The fourth proportional to 7,876.56, 11,816.64 and 2,613.24 is: 3,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.56 : 11,816.64 = 2,613.24 : x
  2. Step 2: Convert to fraction form
    7,876.56/11,816.64 = 2,613.24/x
  3. Step 3: Cross multiply
    7,876.56x = 11,816.64 × 2,613.24
  4. Step 4: Simplify right side
    7,876.56x = 30,879,716.31
  5. Step 5: Solve for x
    x = 30,879,716.31/7,876.56
  6. Step 6: Final answer
    x = 3,920.46

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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.