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Finding the Fourth Proportional to 10,810.92, 16,219.74 and 9,179.40

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Solution

The fourth proportional to 10,810.92, 16,219.74 and 9,179.40 is: 13,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.92 : 16,219.74 = 9,179.40 : x
  2. Step 2: Convert to fraction form
    10,810.92/16,219.74 = 9,179.40/x
  3. Step 3: Cross multiply
    10,810.92x = 16,219.74 × 9,179.40
  4. Step 4: Simplify right side
    10,810.92x = 148,887,481.36
  5. Step 5: Solve for x
    x = 148,887,481.36/10,810.92
  6. Step 6: Final answer
    x = 13,771.95

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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.