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Finding the Fourth Proportional to 7,683.88, 11,519.34 and 3,064.36

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Solution

The fourth proportional to 7,683.88, 11,519.34 and 3,064.36 is: 4,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.88 : 11,519.34 = 3,064.36 : x
  2. Step 2: Convert to fraction form
    7,683.88/11,519.34 = 3,064.36/x
  3. Step 3: Cross multiply
    7,683.88x = 11,519.34 × 3,064.36
  4. Step 4: Simplify right side
    7,683.88x = 35,299,404.72
  5. Step 5: Solve for x
    x = 35,299,404.72/7,683.88
  6. Step 6: Final answer
    x = 4,593.96

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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.