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Finding the Fourth Proportional to 12,683.99, 17,508.56 and 7,648.43

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Solution

The fourth proportional to 12,683.99, 17,508.56 and 7,648.43 is: 10,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.99 : 17,508.56 = 7,648.43 : x
  2. Step 2: Convert to fraction form
    12,683.99/17,508.56 = 7,648.43/x
  3. Step 3: Cross multiply
    12,683.99x = 17,508.56 × 7,648.43
  4. Step 4: Simplify right side
    12,683.99x = 133,912,869.78
  5. Step 5: Solve for x
    x = 133,912,869.78/12,683.99
  6. Step 6: Final answer
    x = 10,557.63

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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.