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Finding the Fourth Proportional to 7,427.80, 10,249.50 and 4,915.18

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Solution

The fourth proportional to 7,427.80, 10,249.50 and 4,915.18 is: 6,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.80 : 10,249.50 = 4,915.18 : x
  2. Step 2: Convert to fraction form
    7,427.80/10,249.50 = 4,915.18/x
  3. Step 3: Cross multiply
    7,427.80x = 10,249.50 × 4,915.18
  4. Step 4: Simplify right side
    7,427.80x = 50,378,137.41
  5. Step 5: Solve for x
    x = 50,378,137.41/7,427.80
  6. Step 6: Final answer
    x = 6,782.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.