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Finding the Fourth Proportional to 6,908.83, 10,369.25 and 3,624.24

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Solution

The fourth proportional to 6,908.83, 10,369.25 and 3,624.24 is: 5,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.83 : 10,369.25 = 3,624.24 : x
  2. Step 2: Convert to fraction form
    6,908.83/10,369.25 = 3,624.24/x
  3. Step 3: Cross multiply
    6,908.83x = 10,369.25 × 3,624.24
  4. Step 4: Simplify right side
    6,908.83x = 37,580,607.83
  5. Step 5: Solve for x
    x = 37,580,607.83/6,908.83
  6. Step 6: Final answer
    x = 5,439.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.