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Finding the Fourth Proportional to 7,011.26, 9,675.58 and 3,867.38

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Solution

The fourth proportional to 7,011.26, 9,675.58 and 3,867.38 is: 5,337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.26 : 9,675.58 = 3,867.38 : x
  2. Step 2: Convert to fraction form
    7,011.26/9,675.58 = 3,867.38/x
  3. Step 3: Cross multiply
    7,011.26x = 9,675.58 × 3,867.38
  4. Step 4: Simplify right side
    7,011.26x = 37,419,144.58
  5. Step 5: Solve for x
    x = 37,419,144.58/7,011.26
  6. Step 6: Final answer
    x = 5,337.01

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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.