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Finding the Fourth Proportional to 7,218.67, 9,961.68 and 4,074.99

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Solution

The fourth proportional to 7,218.67, 9,961.68 and 4,074.99 is: 5,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.67 : 9,961.68 = 4,074.99 : x
  2. Step 2: Convert to fraction form
    7,218.67/9,961.68 = 4,074.99/x
  3. Step 3: Cross multiply
    7,218.67x = 9,961.68 × 4,074.99
  4. Step 4: Simplify right side
    7,218.67x = 40,593,746.38
  5. Step 5: Solve for x
    x = 40,593,746.38/7,218.67
  6. Step 6: Final answer
    x = 5,623.44

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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.