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Finding the Fourth Proportional to 7,011.46, 9,675.79 and 3,867.63

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Solution

The fourth proportional to 7,011.46, 9,675.79 and 3,867.63 is: 5,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.46 : 9,675.79 = 3,867.63 : x
  2. Step 2: Convert to fraction form
    7,011.46/9,675.79 = 3,867.63/x
  3. Step 3: Cross multiply
    7,011.46x = 9,675.79 × 3,867.63
  4. Step 4: Simplify right side
    7,011.46x = 37,422,375.68
  5. Step 5: Solve for x
    x = 37,422,375.68/7,011.46
  6. Step 6: Final answer
    x = 5,337.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.