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Finding the Fourth Proportional to 7,299.69, 10,063.07 and 5,200.17

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Solution

The fourth proportional to 7,299.69, 10,063.07 and 5,200.17 is: 7,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.69 : 10,063.07 = 5,200.17 : x
  2. Step 2: Convert to fraction form
    7,299.69/10,063.07 = 5,200.17/x
  3. Step 3: Cross multiply
    7,299.69x = 10,063.07 × 5,200.17
  4. Step 4: Simplify right side
    7,299.69x = 52,329,648.72
  5. Step 5: Solve for x
    x = 52,329,648.72/7,299.69
  6. Step 6: Final answer
    x = 7,168.75

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