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Finding the Fourth Proportional to 7,615.39, 11,439.57 and 6,447.77

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Solution

The fourth proportional to 7,615.39, 11,439.57 and 6,447.77 is: 9,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.39 : 11,439.57 = 6,447.77 : x
  2. Step 2: Convert to fraction form
    7,615.39/11,439.57 = 6,447.77/x
  3. Step 3: Cross multiply
    7,615.39x = 11,439.57 × 6,447.77
  4. Step 4: Simplify right side
    7,615.39x = 73,759,716.26
  5. Step 5: Solve for x
    x = 73,759,716.26/7,615.39
  6. Step 6: Final answer
    x = 9,685.61

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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.