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Finding the Fourth Proportional to 11,989.82, 16,543.44 and 6,684.53

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Solution

The fourth proportional to 11,989.82, 16,543.44 and 6,684.53 is: 9,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.82 : 16,543.44 = 6,684.53 : x
  2. Step 2: Convert to fraction form
    11,989.82/16,543.44 = 6,684.53/x
  3. Step 3: Cross multiply
    11,989.82x = 16,543.44 × 6,684.53
  4. Step 4: Simplify right side
    11,989.82x = 110,585,038.27
  5. Step 5: Solve for x
    x = 110,585,038.27/11,989.82
  6. Step 6: Final answer
    x = 9,223.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.