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Finding the Fourth Proportional to 10,047.94, 15,067.05 and 3,471.82

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Solution

The fourth proportional to 10,047.94, 15,067.05 and 3,471.82 is: 5,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.94 : 15,067.05 = 3,471.82 : x
  2. Step 2: Convert to fraction form
    10,047.94/15,067.05 = 3,471.82/x
  3. Step 3: Cross multiply
    10,047.94x = 15,067.05 × 3,471.82
  4. Step 4: Simplify right side
    10,047.94x = 52,310,085.53
  5. Step 5: Solve for x
    x = 52,310,085.53/10,047.94
  6. Step 6: Final answer
    x = 5,206.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.