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Finding the Fourth Proportional to 8,683.20, 13,022.64 and 4,000.32

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Solution

The fourth proportional to 8,683.20, 13,022.64 and 4,000.32 is: 5,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.20 : 13,022.64 = 4,000.32 : x
  2. Step 2: Convert to fraction form
    8,683.20/13,022.64 = 4,000.32/x
  3. Step 3: Cross multiply
    8,683.20x = 13,022.64 × 4,000.32
  4. Step 4: Simplify right side
    8,683.20x = 52,094,727.24
  5. Step 5: Solve for x
    x = 52,094,727.24/8,683.20
  6. Step 6: Final answer
    x = 5,999.48

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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.