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Finding the Fourth Proportional to 7,937.21, 10,928.38 and 6,739.83

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Solution

The fourth proportional to 7,937.21, 10,928.38 and 6,739.83 is: 9,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.21 : 10,928.38 = 6,739.83 : x
  2. Step 2: Convert to fraction form
    7,937.21/10,928.38 = 6,739.83/x
  3. Step 3: Cross multiply
    7,937.21x = 10,928.38 × 6,739.83
  4. Step 4: Simplify right side
    7,937.21x = 73,655,423.38
  5. Step 5: Solve for x
    x = 73,655,423.38/7,937.21
  6. Step 6: Final answer
    x = 9,279.76

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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.