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Finding the Fourth Proportional to 7,476.57, 10,321.38 and 5,794.17

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Solution

The fourth proportional to 7,476.57, 10,321.38 and 5,794.17 is: 7,998.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.57 : 10,321.38 = 5,794.17 : x
  2. Step 2: Convert to fraction form
    7,476.57/10,321.38 = 5,794.17/x
  3. Step 3: Cross multiply
    7,476.57x = 10,321.38 × 5,794.17
  4. Step 4: Simplify right side
    7,476.57x = 59,803,830.35
  5. Step 5: Solve for x
    x = 59,803,830.35/7,476.57
  6. Step 6: Final answer
    x = 7,998.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.