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Finding the Fourth Proportional to 8,578.14, 11,834.34 and 5,218.26

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Solution

The fourth proportional to 8,578.14, 11,834.34 and 5,218.26 is: 7,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.14 : 11,834.34 = 5,218.26 : x
  2. Step 2: Convert to fraction form
    8,578.14/11,834.34 = 5,218.26/x
  3. Step 3: Cross multiply
    8,578.14x = 11,834.34 × 5,218.26
  4. Step 4: Simplify right side
    8,578.14x = 61,754,599.10
  5. Step 5: Solve for x
    x = 61,754,599.10/8,578.14
  6. Step 6: Final answer
    x = 7,199.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.