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Finding the Fourth Proportional to 6,920.74, 10,384.16 and 3,633.04

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Solution

The fourth proportional to 6,920.74, 10,384.16 and 3,633.04 is: 5,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.74 : 10,384.16 = 3,633.04 : x
  2. Step 2: Convert to fraction form
    6,920.74/10,384.16 = 3,633.04/x
  3. Step 3: Cross multiply
    6,920.74x = 10,384.16 × 3,633.04
  4. Step 4: Simplify right side
    6,920.74x = 37,726,068.65
  5. Step 5: Solve for x
    x = 37,726,068.65/6,920.74
  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.