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Finding the Fourth Proportional to 10,852.70, 16,279.54 and 3,456.46

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Solution

The fourth proportional to 10,852.70, 16,279.54 and 3,456.46 is: 5,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.70 : 16,279.54 = 3,456.46 : x
  2. Step 2: Convert to fraction form
    10,852.70/16,279.54 = 3,456.46/x
  3. Step 3: Cross multiply
    10,852.70x = 16,279.54 × 3,456.46
  4. Step 4: Simplify right side
    10,852.70x = 56,269,578.83
  5. Step 5: Solve for x
    x = 56,269,578.83/10,852.70
  6. Step 6: Final answer
    x = 5,184.85

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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.