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Finding the Fourth Proportional to 8,089, 11,154.99 and 5,257.14

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Solution

The fourth proportional to 8,089, 11,154.99 and 5,257.14 is: 7,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089 : 11,154.99 = 5,257.14 : x
  2. Step 2: Convert to fraction form
    8,089/11,154.99 = 5,257.14/x
  3. Step 3: Cross multiply
    8,089x = 11,154.99 × 5,257.14
  4. Step 4: Simplify right side
    8,089x = 58,643,344.13
  5. Step 5: Solve for x
    x = 58,643,344.13/8,089
  6. Step 6: Final answer
    x = 7,249.76

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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.