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Finding the Fourth Proportional to 8,681.12, 13,019.10 and 3,683.42

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Solution

The fourth proportional to 8,681.12, 13,019.10 and 3,683.42 is: 5,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.12 : 13,019.10 = 3,683.42 : x
  2. Step 2: Convert to fraction form
    8,681.12/13,019.10 = 3,683.42/x
  3. Step 3: Cross multiply
    8,681.12x = 13,019.10 × 3,683.42
  4. Step 4: Simplify right side
    8,681.12x = 47,954,813.32
  5. Step 5: Solve for x
    x = 47,954,813.32/8,681.12
  6. Step 6: Final answer
    x = 5,524.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.