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Finding the Fourth Proportional to 7,625.53, 11,438.70 and 2,431

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Solution

The fourth proportional to 7,625.53, 11,438.70 and 2,431 is: 3,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.53 : 11,438.70 = 2,431 : x
  2. Step 2: Convert to fraction form
    7,625.53/11,438.70 = 2,431/x
  3. Step 3: Cross multiply
    7,625.53x = 11,438.70 × 2,431
  4. Step 4: Simplify right side
    7,625.53x = 27,807,479.70
  5. Step 5: Solve for x
    x = 27,807,479.70/7,625.53
  6. Step 6: Final answer
    x = 3,646.63

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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.