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Finding the Fourth Proportional to 7,471.83, 10,311.12 and 4,114.56

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Solution

The fourth proportional to 7,471.83, 10,311.12 and 4,114.56 is: 5,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.83 : 10,311.12 = 4,114.56 : x
  2. Step 2: Convert to fraction form
    7,471.83/10,311.12 = 4,114.56/x
  3. Step 3: Cross multiply
    7,471.83x = 10,311.12 × 4,114.56
  4. Step 4: Simplify right side
    7,471.83x = 42,425,721.91
  5. Step 5: Solve for x
    x = 42,425,721.91/7,471.83
  6. Step 6: Final answer
    x = 5,678.09

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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.