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Finding the Fourth Proportional to 10,857.53, 16,313.63 and 6,910.61

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Solution

The fourth proportional to 10,857.53, 16,313.63 and 6,910.61 is: 10,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.53 : 16,313.63 = 6,910.61 : x
  2. Step 2: Convert to fraction form
    10,857.53/16,313.63 = 6,910.61/x
  3. Step 3: Cross multiply
    10,857.53x = 16,313.63 × 6,910.61
  4. Step 4: Simplify right side
    10,857.53x = 112,737,018.49
  5. Step 5: Solve for x
    x = 112,737,018.49/10,857.53
  6. Step 6: Final answer
    x = 10,383.31

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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.