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Finding the Fourth Proportional to 12,974.72, 19,464.96 and 3,740

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Solution

The fourth proportional to 12,974.72, 19,464.96 and 3,740 is: 5,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.72 : 19,464.96 = 3,740 : x
  2. Step 2: Convert to fraction form
    12,974.72/19,464.96 = 3,740/x
  3. Step 3: Cross multiply
    12,974.72x = 19,464.96 × 3,740
  4. Step 4: Simplify right side
    12,974.72x = 72,798,950.40
  5. Step 5: Solve for x
    x = 72,798,950.40/12,974.72
  6. Step 6: Final answer
    x = 5,610.83

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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.