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Finding the Fourth Proportional to 8,740.34, 13,099.57 and 6,884.13

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Solution

The fourth proportional to 8,740.34, 13,099.57 and 6,884.13 is: 10,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.34 : 13,099.57 = 6,884.13 : x
  2. Step 2: Convert to fraction form
    8,740.34/13,099.57 = 6,884.13/x
  3. Step 3: Cross multiply
    8,740.34x = 13,099.57 × 6,884.13
  4. Step 4: Simplify right side
    8,740.34x = 90,179,042.91
  5. Step 5: Solve for x
    x = 90,179,042.91/8,740.34
  6. Step 6: Final answer
    x = 10,317.56

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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.