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Finding the Fourth Proportional to 7,296.71, 10,944.04 and 4,166.57

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Solution

The fourth proportional to 7,296.71, 10,944.04 and 4,166.57 is: 6,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.71 : 10,944.04 = 4,166.57 : x
  2. Step 2: Convert to fraction form
    7,296.71/10,944.04 = 4,166.57/x
  3. Step 3: Cross multiply
    7,296.71x = 10,944.04 × 4,166.57
  4. Step 4: Simplify right side
    7,296.71x = 45,599,108.74
  5. Step 5: Solve for x
    x = 45,599,108.74/7,296.71
  6. Step 6: Final answer
    x = 6,249.27

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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.