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Finding the Fourth Proportional to 7,140.72, 10,714.72 and 3,244.64

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Solution

The fourth proportional to 7,140.72, 10,714.72 and 3,244.64 is: 4,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.72 : 10,714.72 = 3,244.64 : x
  2. Step 2: Convert to fraction form
    7,140.72/10,714.72 = 3,244.64/x
  3. Step 3: Cross multiply
    7,140.72x = 10,714.72 × 3,244.64
  4. Step 4: Simplify right side
    7,140.72x = 34,765,409.10
  5. Step 5: Solve for x
    x = 34,765,409.10/7,140.72
  6. Step 6: Final answer
    x = 4,868.61

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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.