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Finding the Fourth Proportional to 10,826.17, 14,940 and 5,858.17

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Solution

The fourth proportional to 10,826.17, 14,940 and 5,858.17 is: 8,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.17 : 14,940 = 5,858.17 : x
  2. Step 2: Convert to fraction form
    10,826.17/14,940 = 5,858.17/x
  3. Step 3: Cross multiply
    10,826.17x = 14,940 × 5,858.17
  4. Step 4: Simplify right side
    10,826.17x = 87,521,059.80
  5. Step 5: Solve for x
    x = 87,521,059.80/10,826.17
  6. Step 6: Final answer
    x = 8,084.21

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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.