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Finding the Fourth Proportional to 7,471.65, 10,310.47 and 4,113.83

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Solution

The fourth proportional to 7,471.65, 10,310.47 and 4,113.83 is: 5,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.65 : 10,310.47 = 4,113.83 : x
  2. Step 2: Convert to fraction form
    7,471.65/10,310.47 = 4,113.83/x
  3. Step 3: Cross multiply
    7,471.65x = 10,310.47 × 4,113.83
  4. Step 4: Simplify right side
    7,471.65x = 42,415,448.68
  5. Step 5: Solve for x
    x = 42,415,448.68/7,471.65
  6. Step 6: Final answer
    x = 5,676.86

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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.