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Finding the Fourth Proportional to 10,394.70, 14,346.43 and 5,917.83

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Solution

The fourth proportional to 10,394.70, 14,346.43 and 5,917.83 is: 8,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.70 : 14,346.43 = 5,917.83 : x
  2. Step 2: Convert to fraction form
    10,394.70/14,346.43 = 5,917.83/x
  3. Step 3: Cross multiply
    10,394.70x = 14,346.43 × 5,917.83
  4. Step 4: Simplify right side
    10,394.70x = 84,899,665.25
  5. Step 5: Solve for x
    x = 84,899,665.25/10,394.70
  6. Step 6: Final answer
    x = 8,167.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.