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Finding the Fourth Proportional to 7,449.75, 10,280.82 and 4,092.57

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Solution

The fourth proportional to 7,449.75, 10,280.82 and 4,092.57 is: 5,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.75 : 10,280.82 = 4,092.57 : x
  2. Step 2: Convert to fraction form
    7,449.75/10,280.82 = 4,092.57/x
  3. Step 3: Cross multiply
    7,449.75x = 10,280.82 × 4,092.57
  4. Step 4: Simplify right side
    7,449.75x = 42,074,975.51
  5. Step 5: Solve for x
    x = 42,074,975.51/7,449.75
  6. Step 6: Final answer
    x = 5,647.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.