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Finding the Fourth Proportional to 7,268.16, 10,902.12 and 2,074.08

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Solution

The fourth proportional to 7,268.16, 10,902.12 and 2,074.08 is: 3,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268.16 : 10,902.12 = 2,074.08 : x
  2. Step 2: Convert to fraction form
    7,268.16/10,902.12 = 2,074.08/x
  3. Step 3: Cross multiply
    7,268.16x = 10,902.12 × 2,074.08
  4. Step 4: Simplify right side
    7,268.16x = 22,611,869.05
  5. Step 5: Solve for x
    x = 22,611,869.05/7,268.16
  6. Step 6: Final answer
    x = 3,111.09

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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.