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Finding the Fourth Proportional to 10,088, 13,921.44 and 5,896.28

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Solution

The fourth proportional to 10,088, 13,921.44 and 5,896.28 is: 8,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088 : 13,921.44 = 5,896.28 : x
  2. Step 2: Convert to fraction form
    10,088/13,921.44 = 5,896.28/x
  3. Step 3: Cross multiply
    10,088x = 13,921.44 × 5,896.28
  4. Step 4: Simplify right side
    10,088x = 82,084,708.24
  5. Step 5: Solve for x
    x = 82,084,708.24/10,088
  6. Step 6: Final answer
    x = 8,136.87

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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.