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Finding the Fourth Proportional to 7,144.10, 10,714.26 and 3,247.64

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Solution

The fourth proportional to 7,144.10, 10,714.26 and 3,247.64 is: 4,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.10 : 10,714.26 = 3,247.64 : x
  2. Step 2: Convert to fraction form
    7,144.10/10,714.26 = 3,247.64/x
  3. Step 3: Cross multiply
    7,144.10x = 10,714.26 × 3,247.64
  4. Step 4: Simplify right side
    7,144.10x = 34,796,059.35
  5. Step 5: Solve for x
    x = 34,796,059.35/7,144.10
  6. Step 6: Final answer
    x = 4,870.60

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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.