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Finding the Fourth Proportional to 7,522.86, 11,286.18 and 3,138.06

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Solution

The fourth proportional to 7,522.86, 11,286.18 and 3,138.06 is: 4,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.86 : 11,286.18 = 3,138.06 : x
  2. Step 2: Convert to fraction form
    7,522.86/11,286.18 = 3,138.06/x
  3. Step 3: Cross multiply
    7,522.86x = 11,286.18 × 3,138.06
  4. Step 4: Simplify right side
    7,522.86x = 35,416,710.01
  5. Step 5: Solve for x
    x = 35,416,710.01/7,522.86
  6. Step 6: Final answer
    x = 4,707.88

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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.