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Finding the Fourth Proportional to 8,432.78, 12,649.34 and 2,892.50

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Solution

The fourth proportional to 8,432.78, 12,649.34 and 2,892.50 is: 4,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.78 : 12,649.34 = 2,892.50 : x
  2. Step 2: Convert to fraction form
    8,432.78/12,649.34 = 2,892.50/x
  3. Step 3: Cross multiply
    8,432.78x = 12,649.34 × 2,892.50
  4. Step 4: Simplify right side
    8,432.78x = 36,588,152.70
  5. Step 5: Solve for x
    x = 36,588,152.70/8,432.78
  6. Step 6: Final answer
    x = 4,338.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.