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Finding the Fourth Proportional to 8,734.24, 13,092 and 4,342.24

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Solution

The fourth proportional to 8,734.24, 13,092 and 4,342.24 is: 6,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.24 : 13,092 = 4,342.24 : x
  2. Step 2: Convert to fraction form
    8,734.24/13,092 = 4,342.24/x
  3. Step 3: Cross multiply
    8,734.24x = 13,092 × 4,342.24
  4. Step 4: Simplify right side
    8,734.24x = 56,848,606.08
  5. Step 5: Solve for x
    x = 56,848,606.08/8,734.24
  6. Step 6: Final answer
    x = 6,508.71

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