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Finding the Fourth Proportional to 10,611.14, 15,923.62 and 4,037.38

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Solution

The fourth proportional to 10,611.14, 15,923.62 and 4,037.38 is: 6,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.14 : 15,923.62 = 4,037.38 : x
  2. Step 2: Convert to fraction form
    10,611.14/15,923.62 = 4,037.38/x
  3. Step 3: Cross multiply
    10,611.14x = 15,923.62 × 4,037.38
  4. Step 4: Simplify right side
    10,611.14x = 64,289,704.92
  5. Step 5: Solve for x
    x = 64,289,704.92/10,611.14
  6. Step 6: Final answer
    x = 6,058.70

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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.