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Finding the Fourth Proportional to 8,740.64, 13,099.29 and 3,188.77

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Solution

The fourth proportional to 8,740.64, 13,099.29 and 3,188.77 is: 4,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.64 : 13,099.29 = 3,188.77 : x
  2. Step 2: Convert to fraction form
    8,740.64/13,099.29 = 3,188.77/x
  3. Step 3: Cross multiply
    8,740.64x = 13,099.29 × 3,188.77
  4. Step 4: Simplify right side
    8,740.64x = 41,770,578.27
  5. Step 5: Solve for x
    x = 41,770,578.27/8,740.64
  6. Step 6: Final answer
    x = 4,778.89

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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.