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Finding the Fourth Proportional to 11,691.96, 16,114.04 and 8,852.53

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Solution

The fourth proportional to 11,691.96, 16,114.04 and 8,852.53 is: 12,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.96 : 16,114.04 = 8,852.53 : x
  2. Step 2: Convert to fraction form
    11,691.96/16,114.04 = 8,852.53/x
  3. Step 3: Cross multiply
    11,691.96x = 16,114.04 × 8,852.53
  4. Step 4: Simplify right side
    11,691.96x = 142,649,978.26
  5. Step 5: Solve for x
    x = 142,649,978.26/11,691.96
  6. Step 6: Final answer
    x = 12,200.70

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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.