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Finding the Fourth Proportional to 10,852.30, 16,279.67 and 3,454.98

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Solution

The fourth proportional to 10,852.30, 16,279.67 and 3,454.98 is: 5,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.30 : 16,279.67 = 3,454.98 : x
  2. Step 2: Convert to fraction form
    10,852.30/16,279.67 = 3,454.98/x
  3. Step 3: Cross multiply
    10,852.30x = 16,279.67 × 3,454.98
  4. Step 4: Simplify right side
    10,852.30x = 56,245,934.26
  5. Step 5: Solve for x
    x = 56,245,934.26/10,852.30
  6. Step 6: Final answer
    x = 5,182.86

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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.