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Finding the Fourth Proportional to 11,232.95, 16,850.16 and 4,659.66

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Solution

The fourth proportional to 11,232.95, 16,850.16 and 4,659.66 is: 6,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.95 : 16,850.16 = 4,659.66 : x
  2. Step 2: Convert to fraction form
    11,232.95/16,850.16 = 4,659.66/x
  3. Step 3: Cross multiply
    11,232.95x = 16,850.16 × 4,659.66
  4. Step 4: Simplify right side
    11,232.95x = 78,516,016.55
  5. Step 5: Solve for x
    x = 78,516,016.55/11,232.95
  6. Step 6: Final answer
    x = 6,989.80

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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.