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Finding the Fourth Proportional to 11,553.50, 15,942.62 and 8,530.23

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Solution

The fourth proportional to 11,553.50, 15,942.62 and 8,530.23 is: 11,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.50 : 15,942.62 = 8,530.23 : x
  2. Step 2: Convert to fraction form
    11,553.50/15,942.62 = 8,530.23/x
  3. Step 3: Cross multiply
    11,553.50x = 15,942.62 × 8,530.23
  4. Step 4: Simplify right side
    11,553.50x = 135,994,215.40
  5. Step 5: Solve for x
    x = 135,994,215.40/11,553.50
  6. Step 6: Final answer
    x = 11,770.82

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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.