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Finding the Fourth Proportional to 7,627.96, 11,440.53 and 2,697.64

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Solution

The fourth proportional to 7,627.96, 11,440.53 and 2,697.64 is: 4,045.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.96 : 11,440.53 = 2,697.64 : x
  2. Step 2: Convert to fraction form
    7,627.96/11,440.53 = 2,697.64/x
  3. Step 3: Cross multiply
    7,627.96x = 11,440.53 × 2,697.64
  4. Step 4: Simplify right side
    7,627.96x = 30,862,431.35
  5. Step 5: Solve for x
    x = 30,862,431.35/7,627.96
  6. Step 6: Final answer
    x = 4,045.96

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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.