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Finding the Fourth Proportional to 11,856.57, 16,362.49 and 7,826.94

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Solution

The fourth proportional to 11,856.57, 16,362.49 and 7,826.94 is: 10,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.57 : 16,362.49 = 7,826.94 : x
  2. Step 2: Convert to fraction form
    11,856.57/16,362.49 = 7,826.94/x
  3. Step 3: Cross multiply
    11,856.57x = 16,362.49 × 7,826.94
  4. Step 4: Simplify right side
    11,856.57x = 128,068,227.48
  5. Step 5: Solve for x
    x = 128,068,227.48/11,856.57
  6. Step 6: Final answer
    x = 10,801.46

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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.