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Finding the Fourth Proportional to 10,277.82, 15,396.81 and 6,757.21

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Solution

The fourth proportional to 10,277.82, 15,396.81 and 6,757.21 is: 10,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.82 : 15,396.81 = 6,757.21 : x
  2. Step 2: Convert to fraction form
    10,277.82/15,396.81 = 6,757.21/x
  3. Step 3: Cross multiply
    10,277.82x = 15,396.81 × 6,757.21
  4. Step 4: Simplify right side
    10,277.82x = 104,039,478.50
  5. Step 5: Solve for x
    x = 104,039,478.50/10,277.82
  6. Step 6: Final answer
    x = 10,122.72

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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.