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Finding the Fourth Proportional to 10,217.84, 15,318.98 and 5,284.33

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Solution

The fourth proportional to 10,217.84, 15,318.98 and 5,284.33 is: 7,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.84 : 15,318.98 = 5,284.33 : x
  2. Step 2: Convert to fraction form
    10,217.84/15,318.98 = 5,284.33/x
  3. Step 3: Cross multiply
    10,217.84x = 15,318.98 × 5,284.33
  4. Step 4: Simplify right side
    10,217.84x = 80,950,520.50
  5. Step 5: Solve for x
    x = 80,950,520.50/10,217.84
  6. Step 6: Final answer
    x = 7,922.47

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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.