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Finding the Fourth Proportional to 12,793.36, 19,182.12 and 4,993

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Solution

The fourth proportional to 12,793.36, 19,182.12 and 4,993 is: 7,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.36 : 19,182.12 = 4,993 : x
  2. Step 2: Convert to fraction form
    12,793.36/19,182.12 = 4,993/x
  3. Step 3: Cross multiply
    12,793.36x = 19,182.12 × 4,993
  4. Step 4: Simplify right side
    12,793.36x = 95,776,325.16
  5. Step 5: Solve for x
    x = 95,776,325.16/12,793.36
  6. Step 6: Final answer
    x = 7,486.41

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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.