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Finding the Fourth Proportional to 8,683.98, 13,020.49 and 5,719.23

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Solution

The fourth proportional to 8,683.98, 13,020.49 and 5,719.23 is: 8,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.98 : 13,020.49 = 5,719.23 : x
  2. Step 2: Convert to fraction form
    8,683.98/13,020.49 = 5,719.23/x
  3. Step 3: Cross multiply
    8,683.98x = 13,020.49 × 5,719.23
  4. Step 4: Simplify right side
    8,683.98x = 74,467,177.02
  5. Step 5: Solve for x
    x = 74,467,177.02/8,683.98
  6. Step 6: Final answer
    x = 8,575.24

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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.