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Finding the Fourth Proportional to 10,471.38, 15,709.77 and 3,076.08

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Solution

The fourth proportional to 10,471.38, 15,709.77 and 3,076.08 is: 4,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.38 : 15,709.77 = 3,076.08 : x
  2. Step 2: Convert to fraction form
    10,471.38/15,709.77 = 3,076.08/x
  3. Step 3: Cross multiply
    10,471.38x = 15,709.77 × 3,076.08
  4. Step 4: Simplify right side
    10,471.38x = 48,324,509.30
  5. Step 5: Solve for x
    x = 48,324,509.30/10,471.38
  6. Step 6: Final answer
    x = 4,614.91

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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.