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Finding the Fourth Proportional to 11,834.32, 17,741.88 and 4,434.64

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Solution

The fourth proportional to 11,834.32, 17,741.88 and 4,434.64 is: 6,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.32 : 17,741.88 = 4,434.64 : x
  2. Step 2: Convert to fraction form
    11,834.32/17,741.88 = 4,434.64/x
  3. Step 3: Cross multiply
    11,834.32x = 17,741.88 × 4,434.64
  4. Step 4: Simplify right side
    11,834.32x = 78,678,850.72
  5. Step 5: Solve for x
    x = 78,678,850.72/11,834.32
  6. Step 6: Final answer
    x = 6,648.36

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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.