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Finding the Fourth Proportional to 6,737.10, 10,090.62 and 5,165.54

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Solution

The fourth proportional to 6,737.10, 10,090.62 and 5,165.54 is: 7,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.10 : 10,090.62 = 5,165.54 : x
  2. Step 2: Convert to fraction form
    6,737.10/10,090.62 = 5,165.54/x
  3. Step 3: Cross multiply
    6,737.10x = 10,090.62 × 5,165.54
  4. Step 4: Simplify right side
    6,737.10x = 52,123,424.95
  5. Step 5: Solve for x
    x = 52,123,424.95/6,737.10
  6. Step 6: Final answer
    x = 7,736.77

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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.