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Finding the Fourth Proportional to 28,115.78, 42,181.16 and 8,394.50

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Solution

The fourth proportional to 28,115.78, 42,181.16 and 8,394.50 is: 12,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,115.78 : 42,181.16 = 8,394.50 : x
  2. Step 2: Convert to fraction form
    28,115.78/42,181.16 = 8,394.50/x
  3. Step 3: Cross multiply
    28,115.78x = 42,181.16 × 8,394.50
  4. Step 4: Simplify right side
    28,115.78x = 354,089,811.10
  5. Step 5: Solve for x
    x = 354,089,811.10/28,115.78
  6. Step 6: Final answer
    x = 12,593.99

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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.