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Finding the Fourth Proportional to 7,268.64, 10,902.74 and 2,074.52

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Solution

The fourth proportional to 7,268.64, 10,902.74 and 2,074.52 is: 3,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268.64 : 10,902.74 = 2,074.52 : x
  2. Step 2: Convert to fraction form
    7,268.64/10,902.74 = 2,074.52/x
  3. Step 3: Cross multiply
    7,268.64x = 10,902.74 × 2,074.52
  4. Step 4: Simplify right side
    7,268.64x = 22,617,907.74
  5. Step 5: Solve for x
    x = 22,617,907.74/7,268.64
  6. Step 6: Final answer
    x = 3,111.71

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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.