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Finding the Fourth Proportional to 8,073.14, 11,137.50 and 4,927.50

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Solution

The fourth proportional to 8,073.14, 11,137.50 and 4,927.50 is: 6,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.14 : 11,137.50 = 4,927.50 : x
  2. Step 2: Convert to fraction form
    8,073.14/11,137.50 = 4,927.50/x
  3. Step 3: Cross multiply
    8,073.14x = 11,137.50 × 4,927.50
  4. Step 4: Simplify right side
    8,073.14x = 54,880,031.25
  5. Step 5: Solve for x
    x = 54,880,031.25/8,073.14
  6. Step 6: Final answer
    x = 6,797.86

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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.