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Finding the Fourth Proportional to 10,552.38, 15,814.59 and 5,611.38

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Solution

The fourth proportional to 10,552.38, 15,814.59 and 5,611.38 is: 8,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.38 : 15,814.59 = 5,611.38 : x
  2. Step 2: Convert to fraction form
    10,552.38/15,814.59 = 5,611.38/x
  3. Step 3: Cross multiply
    10,552.38x = 15,814.59 × 5,611.38
  4. Step 4: Simplify right side
    10,552.38x = 88,741,674.03
  5. Step 5: Solve for x
    x = 88,741,674.03/10,552.38
  6. Step 6: Final answer
    x = 8,409.64

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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.