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Finding the Fourth Proportional to 12,860.64, 19,297.44 and 5,940

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Solution

The fourth proportional to 12,860.64, 19,297.44 and 5,940 is: 8,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.64 : 19,297.44 = 5,940 : x
  2. Step 2: Convert to fraction form
    12,860.64/19,297.44 = 5,940/x
  3. Step 3: Cross multiply
    12,860.64x = 19,297.44 × 5,940
  4. Step 4: Simplify right side
    12,860.64x = 114,626,793.60
  5. Step 5: Solve for x
    x = 114,626,793.60/12,860.64
  6. Step 6: Final answer
    x = 8,912.99

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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.