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Finding the Fourth Proportional to 10,369.32, 14,310.05 and 5,893.83

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Solution

The fourth proportional to 10,369.32, 14,310.05 and 5,893.83 is: 8,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.32 : 14,310.05 = 5,893.83 : x
  2. Step 2: Convert to fraction form
    10,369.32/14,310.05 = 5,893.83/x
  3. Step 3: Cross multiply
    10,369.32x = 14,310.05 × 5,893.83
  4. Step 4: Simplify right side
    10,369.32x = 84,341,001.99
  5. Step 5: Solve for x
    x = 84,341,001.99/10,369.32
  6. Step 6: Final answer
    x = 8,133.71

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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.