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Finding the Fourth Proportional to 10,171.87, 14,036.76 and 5,923.05

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Solution

The fourth proportional to 10,171.87, 14,036.76 and 5,923.05 is: 8,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.87 : 14,036.76 = 5,923.05 : x
  2. Step 2: Convert to fraction form
    10,171.87/14,036.76 = 5,923.05/x
  3. Step 3: Cross multiply
    10,171.87x = 14,036.76 × 5,923.05
  4. Step 4: Simplify right side
    10,171.87x = 83,140,431.32
  5. Step 5: Solve for x
    x = 83,140,431.32/10,171.87
  6. Step 6: Final answer
    x = 8,173.56

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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.