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Finding the Fourth Proportional to 28,243.28, 42,365.22 and 8,522

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Solution

The fourth proportional to 28,243.28, 42,365.22 and 8,522 is: 12,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,243.28 : 42,365.22 = 8,522 : x
  2. Step 2: Convert to fraction form
    28,243.28/42,365.22 = 8,522/x
  3. Step 3: Cross multiply
    28,243.28x = 42,365.22 × 8,522
  4. Step 4: Simplify right side
    28,243.28x = 361,036,404.84
  5. Step 5: Solve for x
    x = 361,036,404.84/28,243.28
  6. Step 6: Final answer
    x = 12,783.09

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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.