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Finding the Fourth Proportional to 7,449.70, 10,280.70 and 4,092.83

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Solution

The fourth proportional to 7,449.70, 10,280.70 and 4,092.83 is: 5,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.70 : 10,280.70 = 4,092.83 : x
  2. Step 2: Convert to fraction form
    7,449.70/10,280.70 = 4,092.83/x
  3. Step 3: Cross multiply
    7,449.70x = 10,280.70 × 4,092.83
  4. Step 4: Simplify right side
    7,449.70x = 42,077,157.38
  5. Step 5: Solve for x
    x = 42,077,157.38/7,449.70
  6. Step 6: Final answer
    x = 5,648.17

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Why These Related Problems?

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