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Finding the Fourth Proportional to 11,440.14, 15,785.57 and 6,404.57

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Solution

The fourth proportional to 11,440.14, 15,785.57 and 6,404.57 is: 8,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.14 : 15,785.57 = 6,404.57 : x
  2. Step 2: Convert to fraction form
    11,440.14/15,785.57 = 6,404.57/x
  3. Step 3: Cross multiply
    11,440.14x = 15,785.57 × 6,404.57
  4. Step 4: Simplify right side
    11,440.14x = 101,099,788.05
  5. Step 5: Solve for x
    x = 101,099,788.05/11,440.14
  6. Step 6: Final answer
    x = 8,837.29

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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.