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Finding the Fourth Proportional to 6,989.38, 10,458.94 and 5,135.89

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Solution

The fourth proportional to 6,989.38, 10,458.94 and 5,135.89 is: 7,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.38 : 10,458.94 = 5,135.89 : x
  2. Step 2: Convert to fraction form
    6,989.38/10,458.94 = 5,135.89/x
  3. Step 3: Cross multiply
    6,989.38x = 10,458.94 × 5,135.89
  4. Step 4: Simplify right side
    6,989.38x = 53,715,965.36
  5. Step 5: Solve for x
    x = 53,715,965.36/6,989.38
  6. Step 6: Final answer
    x = 7,685.37

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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.