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Finding the Fourth Proportional to 11,523.96, 17,281.62 and 5,683.32

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Solution

The fourth proportional to 11,523.96, 17,281.62 and 5,683.32 is: 8,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.96 : 17,281.62 = 5,683.32 : x
  2. Step 2: Convert to fraction form
    11,523.96/17,281.62 = 5,683.32/x
  3. Step 3: Cross multiply
    11,523.96x = 17,281.62 × 5,683.32
  4. Step 4: Simplify right side
    11,523.96x = 98,216,976.58
  5. Step 5: Solve for x
    x = 98,216,976.58/11,523.96
  6. Step 6: Final answer
    x = 8,522.85

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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.