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Finding the Fourth Proportional to 7,697.61, 11,538.34 and 4,361.70

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Solution

The fourth proportional to 7,697.61, 11,538.34 and 4,361.70 is: 6,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.61 : 11,538.34 = 4,361.70 : x
  2. Step 2: Convert to fraction form
    7,697.61/11,538.34 = 4,361.70/x
  3. Step 3: Cross multiply
    7,697.61x = 11,538.34 × 4,361.70
  4. Step 4: Simplify right side
    7,697.61x = 50,326,777.58
  5. Step 5: Solve for x
    x = 50,326,777.58/7,697.61
  6. Step 6: Final answer
    x = 6,537.97

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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.