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Finding the Fourth Proportional to 7,332.27, 10,998.14 and 2,138.01

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Solution

The fourth proportional to 7,332.27, 10,998.14 and 2,138.01 is: 3,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.27 : 10,998.14 = 2,138.01 : x
  2. Step 2: Convert to fraction form
    7,332.27/10,998.14 = 2,138.01/x
  3. Step 3: Cross multiply
    7,332.27x = 10,998.14 × 2,138.01
  4. Step 4: Simplify right side
    7,332.27x = 23,514,122.61
  5. Step 5: Solve for x
    x = 23,514,122.61/7,332.27
  6. Step 6: Final answer
    x = 3,206.94

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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.