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Finding the Fourth Proportional to 11,053.80, 15,273.66 and 8,834.00

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Solution

The fourth proportional to 11,053.80, 15,273.66 and 8,834.00 is: 12,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.80 : 15,273.66 = 8,834.00 : x
  2. Step 2: Convert to fraction form
    11,053.80/15,273.66 = 8,834.00/x
  3. Step 3: Cross multiply
    11,053.80x = 15,273.66 × 8,834.00
  4. Step 4: Simplify right side
    11,053.80x = 134,927,469.20
  5. Step 5: Solve for x
    x = 134,927,469.20/11,053.80
  6. Step 6: Final answer
    x = 12,206.43

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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.