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Finding the Fourth Proportional to 10,171.96, 14,037.05 and 5,696

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Solution

The fourth proportional to 10,171.96, 14,037.05 and 5,696 is: 7,860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.96 : 14,037.05 = 5,696 : x
  2. Step 2: Convert to fraction form
    10,171.96/14,037.05 = 5,696/x
  3. Step 3: Cross multiply
    10,171.96x = 14,037.05 × 5,696
  4. Step 4: Simplify right side
    10,171.96x = 79,955,036.80
  5. Step 5: Solve for x
    x = 79,955,036.80/10,171.96
  6. Step 6: Final answer
    x = 7,860.34

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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.