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Finding the Fourth Proportional to 8,173.83, 12,244.66 and 5,392

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Solution

The fourth proportional to 8,173.83, 12,244.66 and 5,392 is: 8,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.83 : 12,244.66 = 5,392 : x
  2. Step 2: Convert to fraction form
    8,173.83/12,244.66 = 5,392/x
  3. Step 3: Cross multiply
    8,173.83x = 12,244.66 × 5,392
  4. Step 4: Simplify right side
    8,173.83x = 66,023,206.72
  5. Step 5: Solve for x
    x = 66,023,206.72/8,173.83
  6. Step 6: Final answer
    x = 8,077.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.