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Finding the Fourth Proportional to 7,333.50, 11,002.07 and 2,139.38

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Solution

The fourth proportional to 7,333.50, 11,002.07 and 2,139.38 is: 3,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333.50 : 11,002.07 = 2,139.38 : x
  2. Step 2: Convert to fraction form
    7,333.50/11,002.07 = 2,139.38/x
  3. Step 3: Cross multiply
    7,333.50x = 11,002.07 × 2,139.38
  4. Step 4: Simplify right side
    7,333.50x = 23,537,608.52
  5. Step 5: Solve for x
    x = 23,537,608.52/7,333.50
  6. Step 6: Final answer
    x = 3,209.60

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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.