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Finding the Fourth Proportional to 7,411.96, 11,118.52 and 2,147.06

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Solution

The fourth proportional to 7,411.96, 11,118.52 and 2,147.06 is: 3,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.96 : 11,118.52 = 2,147.06 : x
  2. Step 2: Convert to fraction form
    7,411.96/11,118.52 = 2,147.06/x
  3. Step 3: Cross multiply
    7,411.96x = 11,118.52 × 2,147.06
  4. Step 4: Simplify right side
    7,411.96x = 23,872,103.53
  5. Step 5: Solve for x
    x = 23,872,103.53/7,411.96
  6. Step 6: Final answer
    x = 3,220.75

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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.