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Finding the Fourth Proportional to 10,511.12, 15,767.01 and 3,936.05

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Solution

The fourth proportional to 10,511.12, 15,767.01 and 3,936.05 is: 5,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.12 : 15,767.01 = 3,936.05 : x
  2. Step 2: Convert to fraction form
    10,511.12/15,767.01 = 3,936.05/x
  3. Step 3: Cross multiply
    10,511.12x = 15,767.01 × 3,936.05
  4. Step 4: Simplify right side
    10,511.12x = 62,059,739.71
  5. Step 5: Solve for x
    x = 62,059,739.71/10,511.12
  6. Step 6: Final answer
    x = 5,904.20

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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.