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Finding the Fourth Proportional to 28,102.50, 42,156.18 and 7,326

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Solution

The fourth proportional to 28,102.50, 42,156.18 and 7,326 is: 10,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102.50 : 42,156.18 = 7,326 : x
  2. Step 2: Convert to fraction form
    28,102.50/42,156.18 = 7,326/x
  3. Step 3: Cross multiply
    28,102.50x = 42,156.18 × 7,326
  4. Step 4: Simplify right side
    28,102.50x = 308,836,174.68
  5. Step 5: Solve for x
    x = 308,836,174.68/28,102.50
  6. Step 6: Final answer
    x = 10,989.63

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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.