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Finding the Fourth Proportional to 10,834.92, 16,259.70 and 5,290.92

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Solution

The fourth proportional to 10,834.92, 16,259.70 and 5,290.92 is: 7,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.92 : 16,259.70 = 5,290.92 : x
  2. Step 2: Convert to fraction form
    10,834.92/16,259.70 = 5,290.92/x
  3. Step 3: Cross multiply
    10,834.92x = 16,259.70 × 5,290.92
  4. Step 4: Simplify right side
    10,834.92x = 86,028,771.92
  5. Step 5: Solve for x
    x = 86,028,771.92/10,834.92
  6. Step 6: Final answer
    x = 7,939.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.