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Finding the Fourth Proportional to 12,793.30, 19,187.62 and 5,402.95

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Solution

The fourth proportional to 12,793.30, 19,187.62 and 5,402.95 is: 8,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.30 : 19,187.62 = 5,402.95 : x
  2. Step 2: Convert to fraction form
    12,793.30/19,187.62 = 5,402.95/x
  3. Step 3: Cross multiply
    12,793.30x = 19,187.62 × 5,402.95
  4. Step 4: Simplify right side
    12,793.30x = 103,669,690.00
  5. Step 5: Solve for x
    x = 103,669,690.00/12,793.30
  6. Step 6: Final answer
    x = 8,103.44

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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.