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Finding the Fourth Proportional to 8,238.74, 11,366.37 and 5,214.02

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Solution

The fourth proportional to 8,238.74, 11,366.37 and 5,214.02 is: 7,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.74 : 11,366.37 = 5,214.02 : x
  2. Step 2: Convert to fraction form
    8,238.74/11,366.37 = 5,214.02/x
  3. Step 3: Cross multiply
    8,238.74x = 11,366.37 × 5,214.02
  4. Step 4: Simplify right side
    8,238.74x = 59,264,423.68
  5. Step 5: Solve for x
    x = 59,264,423.68/8,238.74
  6. Step 6: Final answer
    x = 7,193.39

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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.