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Finding the Fourth Proportional to 11,856.30, 16,363.38 and 7,381.45

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Solution

The fourth proportional to 11,856.30, 16,363.38 and 7,381.45 is: 10,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.30 : 16,363.38 = 7,381.45 : x
  2. Step 2: Convert to fraction form
    11,856.30/16,363.38 = 7,381.45/x
  3. Step 3: Cross multiply
    11,856.30x = 16,363.38 × 7,381.45
  4. Step 4: Simplify right side
    11,856.30x = 120,785,471.30
  5. Step 5: Solve for x
    x = 120,785,471.30/11,856.30
  6. Step 6: Final answer
    x = 10,187.45

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Why These Related Problems?

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