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Finding the Fourth Proportional to 10,372.78, 14,314.08 and 5,896.45

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Solution

The fourth proportional to 10,372.78, 14,314.08 and 5,896.45 is: 8,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.78 : 14,314.08 = 5,896.45 : x
  2. Step 2: Convert to fraction form
    10,372.78/14,314.08 = 5,896.45/x
  3. Step 3: Cross multiply
    10,372.78x = 14,314.08 × 5,896.45
  4. Step 4: Simplify right side
    10,372.78x = 84,402,257.02
  5. Step 5: Solve for x
    x = 84,402,257.02/10,372.78
  6. Step 6: Final answer
    x = 8,136.90

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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.