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Finding the Fourth Proportional to 10,767.12, 16,152.30 and 3,840

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Solution

The fourth proportional to 10,767.12, 16,152.30 and 3,840 is: 5,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.12 : 16,152.30 = 3,840 : x
  2. Step 2: Convert to fraction form
    10,767.12/16,152.30 = 3,840/x
  3. Step 3: Cross multiply
    10,767.12x = 16,152.30 × 3,840
  4. Step 4: Simplify right side
    10,767.12x = 62,024,832
  5. Step 5: Solve for x
    x = 62,024,832/10,767.12
  6. Step 6: Final answer
    x = 5,760.58

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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.