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Finding the Fourth Proportional to 7,411.64, 11,115.21 and 3,899.70

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Solution

The fourth proportional to 7,411.64, 11,115.21 and 3,899.70 is: 5,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.64 : 11,115.21 = 3,899.70 : x
  2. Step 2: Convert to fraction form
    7,411.64/11,115.21 = 3,899.70/x
  3. Step 3: Cross multiply
    7,411.64x = 11,115.21 × 3,899.70
  4. Step 4: Simplify right side
    7,411.64x = 43,345,984.44
  5. Step 5: Solve for x
    x = 43,345,984.44/7,411.64
  6. Step 6: Final answer
    x = 5,848.37

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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.