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Finding the Fourth Proportional to 7,296.50, 10,069.17 and 3,984.50

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Solution

The fourth proportional to 7,296.50, 10,069.17 and 3,984.50 is: 5,498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.50 : 10,069.17 = 3,984.50 : x
  2. Step 2: Convert to fraction form
    7,296.50/10,069.17 = 3,984.50/x
  3. Step 3: Cross multiply
    7,296.50x = 10,069.17 × 3,984.50
  4. Step 4: Simplify right side
    7,296.50x = 40,120,607.87
  5. Step 5: Solve for x
    x = 40,120,607.87/7,296.50
  6. Step 6: Final answer
    x = 5,498.61

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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.