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Finding the Fourth Proportional to 6,920.72, 10,384.12 and 3,633.05

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Solution

The fourth proportional to 6,920.72, 10,384.12 and 3,633.05 is: 5,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.72 : 10,384.12 = 3,633.05 : x
  2. Step 2: Convert to fraction form
    6,920.72/10,384.12 = 3,633.05/x
  3. Step 3: Cross multiply
    6,920.72x = 10,384.12 × 3,633.05
  4. Step 4: Simplify right side
    6,920.72x = 37,725,999.26
  5. Step 5: Solve for x
    x = 37,725,999.26/6,920.72
  6. Step 6: Final answer
    x = 5,451.16

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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.