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Finding the Fourth Proportional to 7,917.69, 11,876.81 and 2,986.14

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Solution

The fourth proportional to 7,917.69, 11,876.81 and 2,986.14 is: 4,479.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.69 : 11,876.81 = 2,986.14 : x
  2. Step 2: Convert to fraction form
    7,917.69/11,876.81 = 2,986.14/x
  3. Step 3: Cross multiply
    7,917.69x = 11,876.81 × 2,986.14
  4. Step 4: Simplify right side
    7,917.69x = 35,465,802.48
  5. Step 5: Solve for x
    x = 35,465,802.48/7,917.69
  6. Step 6: Final answer
    x = 4,479.31

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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.