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Finding the Fourth Proportional to 7,449.83, 10,280.82 and 4,092.71

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Solution

The fourth proportional to 7,449.83, 10,280.82 and 4,092.71 is: 5,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.83 : 10,280.82 = 4,092.71 : x
  2. Step 2: Convert to fraction form
    7,449.83/10,280.82 = 4,092.71/x
  3. Step 3: Cross multiply
    7,449.83x = 10,280.82 × 4,092.71
  4. Step 4: Simplify right side
    7,449.83x = 42,076,414.82
  5. Step 5: Solve for x
    x = 42,076,414.82/7,449.83
  6. Step 6: Final answer
    x = 5,647.97

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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.