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Finding the Fourth Proportional to 7,111.10, 10,651.26 and 5,159

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Solution

The fourth proportional to 7,111.10, 10,651.26 and 5,159 is: 7,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.10 : 10,651.26 = 5,159 : x
  2. Step 2: Convert to fraction form
    7,111.10/10,651.26 = 5,159/x
  3. Step 3: Cross multiply
    7,111.10x = 10,651.26 × 5,159
  4. Step 4: Simplify right side
    7,111.10x = 54,949,850.34
  5. Step 5: Solve for x
    x = 54,949,850.34/7,111.10
  6. Step 6: Final answer
    x = 7,727.33

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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.