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Finding the Fourth Proportional to 7,688.53, 11,534.42 and 2,494

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Solution

The fourth proportional to 7,688.53, 11,534.42 and 2,494 is: 3,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.53 : 11,534.42 = 2,494 : x
  2. Step 2: Convert to fraction form
    7,688.53/11,534.42 = 2,494/x
  3. Step 3: Cross multiply
    7,688.53x = 11,534.42 × 2,494
  4. Step 4: Simplify right side
    7,688.53x = 28,766,843.48
  5. Step 5: Solve for x
    x = 28,766,843.48/7,688.53
  6. Step 6: Final answer
    x = 3,741.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.