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Finding the Fourth Proportional to 10,372.90, 14,314.04 and 5,896.03

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Solution

The fourth proportional to 10,372.90, 14,314.04 and 5,896.03 is: 8,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.90 : 14,314.04 = 5,896.03 : x
  2. Step 2: Convert to fraction form
    10,372.90/14,314.04 = 5,896.03/x
  3. Step 3: Cross multiply
    10,372.90x = 14,314.04 × 5,896.03
  4. Step 4: Simplify right side
    10,372.90x = 84,396,009.26
  5. Step 5: Solve for x
    x = 84,396,009.26/10,372.90
  6. Step 6: Final answer
    x = 8,136.20

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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.