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Finding the Fourth Proportional to 8,092.50, 11,167.74 and 5,298

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Solution

The fourth proportional to 8,092.50, 11,167.74 and 5,298 is: 7,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.50 : 11,167.74 = 5,298 : x
  2. Step 2: Convert to fraction form
    8,092.50/11,167.74 = 5,298/x
  3. Step 3: Cross multiply
    8,092.50x = 11,167.74 × 5,298
  4. Step 4: Simplify right side
    8,092.50x = 59,166,686.52
  5. Step 5: Solve for x
    x = 59,166,686.52/8,092.50
  6. Step 6: Final answer
    x = 7,311.30

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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.