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Finding the Fourth Proportional to 10,767.32, 16,141.20 and 3,840.20

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Solution

The fourth proportional to 10,767.32, 16,141.20 and 3,840.20 is: 5,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.32 : 16,141.20 = 3,840.20 : x
  2. Step 2: Convert to fraction form
    10,767.32/16,141.20 = 3,840.20/x
  3. Step 3: Cross multiply
    10,767.32x = 16,141.20 × 3,840.20
  4. Step 4: Simplify right side
    10,767.32x = 61,985,436.24
  5. Step 5: Solve for x
    x = 61,985,436.24/10,767.32
  6. Step 6: Final answer
    x = 5,756.81

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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.