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Finding the Fourth Proportional to 11,030.80, 16,505.70 and 8,114.80

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Solution

The fourth proportional to 11,030.80, 16,505.70 and 8,114.80 is: 12,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,030.80 : 16,505.70 = 8,114.80 : x
  2. Step 2: Convert to fraction form
    11,030.80/16,505.70 = 8,114.80/x
  3. Step 3: Cross multiply
    11,030.80x = 16,505.70 × 8,114.80
  4. Step 4: Simplify right side
    11,030.80x = 133,940,454.36
  5. Step 5: Solve for x
    x = 133,940,454.36/11,030.80
  6. Step 6: Final answer
    x = 12,142.41

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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.