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Finding the Fourth Proportional to 10,826, 14,939.88 and 5,858

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Solution

The fourth proportional to 10,826, 14,939.88 and 5,858 is: 8,084.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826 : 14,939.88 = 5,858 : x
  2. Step 2: Convert to fraction form
    10,826/14,939.88 = 5,858/x
  3. Step 3: Cross multiply
    10,826x = 14,939.88 × 5,858
  4. Step 4: Simplify right side
    10,826x = 87,517,817.04
  5. Step 5: Solve for x
    x = 87,517,817.04/10,826
  6. Step 6: Final answer
    x = 8,084.04

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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.