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Finding the Fourth Proportional to 7,149.84, 10,720.80 and 2,467.32

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Solution

The fourth proportional to 7,149.84, 10,720.80 and 2,467.32 is: 3,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.84 : 10,720.80 = 2,467.32 : x
  2. Step 2: Convert to fraction form
    7,149.84/10,720.80 = 2,467.32/x
  3. Step 3: Cross multiply
    7,149.84x = 10,720.80 × 2,467.32
  4. Step 4: Simplify right side
    7,149.84x = 26,451,644.26
  5. Step 5: Solve for x
    x = 26,451,644.26/7,149.84
  6. Step 6: Final answer
    x = 3,699.61

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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.