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Finding the Fourth Proportional to 7,147.40, 10,698.06 and 3,679.88

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Solution

The fourth proportional to 7,147.40, 10,698.06 and 3,679.88 is: 5,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.40 : 10,698.06 = 3,679.88 : x
  2. Step 2: Convert to fraction form
    7,147.40/10,698.06 = 3,679.88/x
  3. Step 3: Cross multiply
    7,147.40x = 10,698.06 × 3,679.88
  4. Step 4: Simplify right side
    7,147.40x = 39,367,577.03
  5. Step 5: Solve for x
    x = 39,367,577.03/7,147.40
  6. Step 6: Final answer
    x = 5,507.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.