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Finding the Fourth Proportional to 7,268.50, 10,902.86 and 2,074.38

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Solution

The fourth proportional to 7,268.50, 10,902.86 and 2,074.38 is: 3,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268.50 : 10,902.86 = 2,074.38 : x
  2. Step 2: Convert to fraction form
    7,268.50/10,902.86 = 2,074.38/x
  3. Step 3: Cross multiply
    7,268.50x = 10,902.86 × 2,074.38
  4. Step 4: Simplify right side
    7,268.50x = 22,616,674.73
  5. Step 5: Solve for x
    x = 22,616,674.73/7,268.50
  6. Step 6: Final answer
    x = 3,111.60

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Why These Related Problems?

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