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Finding the Fourth Proportional to 7,159.80, 10,735.08 and 3,454.68

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Solution

The fourth proportional to 7,159.80, 10,735.08 and 3,454.68 is: 5,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.80 : 10,735.08 = 3,454.68 : x
  2. Step 2: Convert to fraction form
    7,159.80/10,735.08 = 3,454.68/x
  3. Step 3: Cross multiply
    7,159.80x = 10,735.08 × 3,454.68
  4. Step 4: Simplify right side
    7,159.80x = 37,086,266.17
  5. Step 5: Solve for x
    x = 37,086,266.17/7,159.80
  6. Step 6: Final answer
    x = 5,179.79

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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.