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Finding the Fourth Proportional to 10,822.78, 16,236.38 and 4,159

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Solution

The fourth proportional to 10,822.78, 16,236.38 and 4,159 is: 6,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.78 : 16,236.38 = 4,159 : x
  2. Step 2: Convert to fraction form
    10,822.78/16,236.38 = 4,159/x
  3. Step 3: Cross multiply
    10,822.78x = 16,236.38 × 4,159
  4. Step 4: Simplify right side
    10,822.78x = 67,527,083.63
  5. Step 5: Solve for x
    x = 67,527,083.63/10,822.78
  6. Step 6: Final answer
    x = 6,239.35

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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.