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Finding the Fourth Proportional to 7,678.85, 11,518.25 and 5,081.18

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Solution

The fourth proportional to 7,678.85, 11,518.25 and 5,081.18 is: 7,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.85 : 11,518.25 = 5,081.18 : x
  2. Step 2: Convert to fraction form
    7,678.85/11,518.25 = 5,081.18/x
  3. Step 3: Cross multiply
    7,678.85x = 11,518.25 × 5,081.18
  4. Step 4: Simplify right side
    7,678.85x = 58,526,218.54
  5. Step 5: Solve for x
    x = 58,526,218.54/7,678.85
  6. Step 6: Final answer
    x = 7,621.75

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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.