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Finding the Fourth Proportional to 11,235.40, 16,820.70 and 6,861.40

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Solution

The fourth proportional to 11,235.40, 16,820.70 and 6,861.40 is: 10,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.40 : 16,820.70 = 6,861.40 : x
  2. Step 2: Convert to fraction form
    11,235.40/16,820.70 = 6,861.40/x
  3. Step 3: Cross multiply
    11,235.40x = 16,820.70 × 6,861.40
  4. Step 4: Simplify right side
    11,235.40x = 115,413,550.98
  5. Step 5: Solve for x
    x = 115,413,550.98/11,235.40
  6. Step 6: Final answer
    x = 10,272.31

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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.