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Finding the Fourth Proportional to 10,826.50, 14,940.66 and 5,858.50

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Solution

The fourth proportional to 10,826.50, 14,940.66 and 5,858.50 is: 8,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.50 : 14,940.66 = 5,858.50 : x
  2. Step 2: Convert to fraction form
    10,826.50/14,940.66 = 5,858.50/x
  3. Step 3: Cross multiply
    10,826.50x = 14,940.66 × 5,858.50
  4. Step 4: Simplify right side
    10,826.50x = 87,529,856.61
  5. Step 5: Solve for x
    x = 87,529,856.61/10,826.50
  6. Step 6: Final answer
    x = 8,084.78

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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.