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Finding the Fourth Proportional to 7,688.72, 11,533.08 and 2,494.64

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Solution

The fourth proportional to 7,688.72, 11,533.08 and 2,494.64 is: 3,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.72 : 11,533.08 = 2,494.64 : x
  2. Step 2: Convert to fraction form
    7,688.72/11,533.08 = 2,494.64/x
  3. Step 3: Cross multiply
    7,688.72x = 11,533.08 × 2,494.64
  4. Step 4: Simplify right side
    7,688.72x = 28,770,882.69
  5. Step 5: Solve for x
    x = 28,770,882.69/7,688.72
  6. Step 6: Final answer
    x = 3,741.96

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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.