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Finding the Fourth Proportional to 11,856.05, 16,363.61 and 7,815.78

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Solution

The fourth proportional to 11,856.05, 16,363.61 and 7,815.78 is: 10,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.05 : 16,363.61 = 7,815.78 : x
  2. Step 2: Convert to fraction form
    11,856.05/16,363.61 = 7,815.78/x
  3. Step 3: Cross multiply
    11,856.05x = 16,363.61 × 7,815.78
  4. Step 4: Simplify right side
    11,856.05x = 127,894,336.69
  5. Step 5: Solve for x
    x = 127,894,336.69/11,856.05
  6. Step 6: Final answer
    x = 10,787.27

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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.