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Finding the Fourth Proportional to 7,154.60, 10,729.96 and 2,993.75

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Solution

The fourth proportional to 7,154.60, 10,729.96 and 2,993.75 is: 4,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.60 : 10,729.96 = 2,993.75 : x
  2. Step 2: Convert to fraction form
    7,154.60/10,729.96 = 2,993.75/x
  3. Step 3: Cross multiply
    7,154.60x = 10,729.96 × 2,993.75
  4. Step 4: Simplify right side
    7,154.60x = 32,122,837.09
  5. Step 5: Solve for x
    x = 32,122,837.09/7,154.60
  6. Step 6: Final answer
    x = 4,489.82

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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.