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Finding the Fourth Proportional to 11,896.35, 16,390.53 and 7,856.00

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Solution

The fourth proportional to 11,896.35, 16,390.53 and 7,856.00 is: 10,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.35 : 16,390.53 = 7,856.00 : x
  2. Step 2: Convert to fraction form
    11,896.35/16,390.53 = 7,856.00/x
  3. Step 3: Cross multiply
    11,896.35x = 16,390.53 × 7,856.00
  4. Step 4: Simplify right side
    11,896.35x = 128,764,044.66
  5. Step 5: Solve for x
    x = 128,764,044.66/11,896.35
  6. Step 6: Final answer
    x = 10,823.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.