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Finding the Fourth Proportional to 10,369.41, 14,309.81 and 5,893.19

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Solution

The fourth proportional to 10,369.41, 14,309.81 and 5,893.19 is: 8,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.41 : 14,309.81 = 5,893.19 : x
  2. Step 2: Convert to fraction form
    10,369.41/14,309.81 = 5,893.19/x
  3. Step 3: Cross multiply
    10,369.41x = 14,309.81 × 5,893.19
  4. Step 4: Simplify right side
    10,369.41x = 84,330,429.19
  5. Step 5: Solve for x
    x = 84,330,429.19/10,369.41
  6. Step 6: Final answer
    x = 8,132.62

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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.