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Finding the Fourth Proportional to 11,902.50, 16,402.80 and 8,716.77

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Solution

The fourth proportional to 11,902.50, 16,402.80 and 8,716.77 is: 12,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.50 : 16,402.80 = 8,716.77 : x
  2. Step 2: Convert to fraction form
    11,902.50/16,402.80 = 8,716.77/x
  3. Step 3: Cross multiply
    11,902.50x = 16,402.80 × 8,716.77
  4. Step 4: Simplify right side
    11,902.50x = 142,979,434.96
  5. Step 5: Solve for x
    x = 142,979,434.96/11,902.50
  6. Step 6: Final answer
    x = 12,012.55

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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.