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Finding the Fourth Proportional to 7,021.38, 9,689.37 and 3,877.50

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Solution

The fourth proportional to 7,021.38, 9,689.37 and 3,877.50 is: 5,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.38 : 9,689.37 = 3,877.50 : x
  2. Step 2: Convert to fraction form
    7,021.38/9,689.37 = 3,877.50/x
  3. Step 3: Cross multiply
    7,021.38x = 9,689.37 × 3,877.50
  4. Step 4: Simplify right side
    7,021.38x = 37,570,532.18
  5. Step 5: Solve for x
    x = 37,570,532.18/7,021.38
  6. Step 6: Final answer
    x = 5,350.88

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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.