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Finding the Fourth Proportional to 10,733, 16,100.88 and 3,807.56

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Solution

The fourth proportional to 10,733, 16,100.88 and 3,807.56 is: 5,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733 : 16,100.88 = 3,807.56 : x
  2. Step 2: Convert to fraction form
    10,733/16,100.88 = 3,807.56/x
  3. Step 3: Cross multiply
    10,733x = 16,100.88 × 3,807.56
  4. Step 4: Simplify right side
    10,733x = 61,305,066.65
  5. Step 5: Solve for x
    x = 61,305,066.65/10,733
  6. Step 6: Final answer
    x = 5,711.83

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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.