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Finding the Fourth Proportional to 10,993.12, 16,474.96 and 7,095.52

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Solution

The fourth proportional to 10,993.12, 16,474.96 and 7,095.52 is: 10,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.12 : 16,474.96 = 7,095.52 : x
  2. Step 2: Convert to fraction form
    10,993.12/16,474.96 = 7,095.52/x
  3. Step 3: Cross multiply
    10,993.12x = 16,474.96 × 7,095.52
  4. Step 4: Simplify right side
    10,993.12x = 116,898,408.18
  5. Step 5: Solve for x
    x = 116,898,408.18/10,993.12
  6. Step 6: Final answer
    x = 10,633.78

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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.