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Finding the Fourth Proportional to 10,730.52, 16,086.78 and 7,450.02

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Solution

The fourth proportional to 10,730.52, 16,086.78 and 7,450.02 is: 11,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.52 : 16,086.78 = 7,450.02 : x
  2. Step 2: Convert to fraction form
    10,730.52/16,086.78 = 7,450.02/x
  3. Step 3: Cross multiply
    10,730.52x = 16,086.78 × 7,450.02
  4. Step 4: Simplify right side
    10,730.52x = 119,846,832.74
  5. Step 5: Solve for x
    x = 119,846,832.74/10,730.52
  6. Step 6: Final answer
    x = 11,168.78

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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.