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Finding the Fourth Proportional to 7,422.50, 11,124.02 and 4,137.14

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Solution

The fourth proportional to 7,422.50, 11,124.02 and 4,137.14 is: 6,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.50 : 11,124.02 = 4,137.14 : x
  2. Step 2: Convert to fraction form
    7,422.50/11,124.02 = 4,137.14/x
  3. Step 3: Cross multiply
    7,422.50x = 11,124.02 × 4,137.14
  4. Step 4: Simplify right side
    7,422.50x = 46,021,628.10
  5. Step 5: Solve for x
    x = 46,021,628.10/7,422.50
  6. Step 6: Final answer
    x = 6,200.29

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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.