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Finding the Fourth Proportional to 10,007.67, 13,811.30 and 5,531.32

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Solution

The fourth proportional to 10,007.67, 13,811.30 and 5,531.32 is: 7,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.67 : 13,811.30 = 5,531.32 : x
  2. Step 2: Convert to fraction form
    10,007.67/13,811.30 = 5,531.32/x
  3. Step 3: Cross multiply
    10,007.67x = 13,811.30 × 5,531.32
  4. Step 4: Simplify right side
    10,007.67x = 76,394,730.27
  5. Step 5: Solve for x
    x = 76,394,730.27/10,007.67
  6. Step 6: Final answer
    x = 7,633.62

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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.