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Finding the Fourth Proportional to 8,681.62, 13,019.85 and 3,683.92

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Solution

The fourth proportional to 8,681.62, 13,019.85 and 3,683.92 is: 5,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.62 : 13,019.85 = 3,683.92 : x
  2. Step 2: Convert to fraction form
    8,681.62/13,019.85 = 3,683.92/x
  3. Step 3: Cross multiply
    8,681.62x = 13,019.85 × 3,683.92
  4. Step 4: Simplify right side
    8,681.62x = 47,964,085.81
  5. Step 5: Solve for x
    x = 47,964,085.81/8,681.62
  6. Step 6: Final answer
    x = 5,524.79

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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.