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Finding the Fourth Proportional to 7,697.08, 11,544.54 and 3,017.44

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Solution

The fourth proportional to 7,697.08, 11,544.54 and 3,017.44 is: 4,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.08 : 11,544.54 = 3,017.44 : x
  2. Step 2: Convert to fraction form
    7,697.08/11,544.54 = 3,017.44/x
  3. Step 3: Cross multiply
    7,697.08x = 11,544.54 × 3,017.44
  4. Step 4: Simplify right side
    7,697.08x = 34,834,956.78
  5. Step 5: Solve for x
    x = 34,834,956.78/7,697.08
  6. Step 6: Final answer
    x = 4,525.74

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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.