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Finding the Fourth Proportional to 12,910.84, 19,358.46 and 5,793.78

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Solution

The fourth proportional to 12,910.84, 19,358.46 and 5,793.78 is: 8,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.84 : 19,358.46 = 5,793.78 : x
  2. Step 2: Convert to fraction form
    12,910.84/19,358.46 = 5,793.78/x
  3. Step 3: Cross multiply
    12,910.84x = 19,358.46 × 5,793.78
  4. Step 4: Simplify right side
    12,910.84x = 112,158,658.38
  5. Step 5: Solve for x
    x = 112,158,658.38/12,910.84
  6. Step 6: Final answer
    x = 8,687.17

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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.