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Finding the Fourth Proportional to 8,124.98, 11,216.37 and 5,142.26

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Solution

The fourth proportional to 8,124.98, 11,216.37 and 5,142.26 is: 7,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.98 : 11,216.37 = 5,142.26 : x
  2. Step 2: Convert to fraction form
    8,124.98/11,216.37 = 5,142.26/x
  3. Step 3: Cross multiply
    8,124.98x = 11,216.37 × 5,142.26
  4. Step 4: Simplify right side
    8,124.98x = 57,677,490.80
  5. Step 5: Solve for x
    x = 57,677,490.80/8,124.98
  6. Step 6: Final answer
    x = 7,098.79

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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.