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Finding the Fourth Proportional to 6,902.44, 10,357.32 and 5,269.48

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Solution

The fourth proportional to 6,902.44, 10,357.32 and 5,269.48 is: 7,907.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.44 : 10,357.32 = 5,269.48 : x
  2. Step 2: Convert to fraction form
    6,902.44/10,357.32 = 5,269.48/x
  3. Step 3: Cross multiply
    6,902.44x = 10,357.32 × 5,269.48
  4. Step 4: Simplify right side
    6,902.44x = 54,577,690.59
  5. Step 5: Solve for x
    x = 54,577,690.59/6,902.44
  6. Step 6: Final answer
    x = 7,907.01

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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.