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Finding the Fourth Proportional to 12,462.87, 18,697.84 and 5,072.64

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Solution

The fourth proportional to 12,462.87, 18,697.84 and 5,072.64 is: 7,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.87 : 18,697.84 = 5,072.64 : x
  2. Step 2: Convert to fraction form
    12,462.87/18,697.84 = 5,072.64/x
  3. Step 3: Cross multiply
    12,462.87x = 18,697.84 × 5,072.64
  4. Step 4: Simplify right side
    12,462.87x = 94,847,356.83
  5. Step 5: Solve for x
    x = 94,847,356.83/12,462.87
  6. Step 6: Final answer
    x = 7,610.39

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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.