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Finding the Fourth Proportional to 11,737.32, 16,204.50 and 7,761.84

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Solution

The fourth proportional to 11,737.32, 16,204.50 and 7,761.84 is: 10,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.32 : 16,204.50 = 7,761.84 : x
  2. Step 2: Convert to fraction form
    11,737.32/16,204.50 = 7,761.84/x
  3. Step 3: Cross multiply
    11,737.32x = 16,204.50 × 7,761.84
  4. Step 4: Simplify right side
    11,737.32x = 125,776,736.28
  5. Step 5: Solve for x
    x = 125,776,736.28/11,737.32
  6. Step 6: Final answer
    x = 10,715.97

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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.