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Finding the Fourth Proportional to 7,217.94, 9,960.93 and 4,074.13

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Solution

The fourth proportional to 7,217.94, 9,960.93 and 4,074.13 is: 5,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.94 : 9,960.93 = 4,074.13 : x
  2. Step 2: Convert to fraction form
    7,217.94/9,960.93 = 4,074.13/x
  3. Step 3: Cross multiply
    7,217.94x = 9,960.93 × 4,074.13
  4. Step 4: Simplify right side
    7,217.94x = 40,582,053.57
  5. Step 5: Solve for x
    x = 40,582,053.57/7,217.94
  6. Step 6: Final answer
    x = 5,622.39

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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.