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Finding the Fourth Proportional to 8,420.86, 12,634.53 and 3,225.52

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Solution

The fourth proportional to 8,420.86, 12,634.53 and 3,225.52 is: 4,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.86 : 12,634.53 = 3,225.52 : x
  2. Step 2: Convert to fraction form
    8,420.86/12,634.53 = 3,225.52/x
  3. Step 3: Cross multiply
    8,420.86x = 12,634.53 × 3,225.52
  4. Step 4: Simplify right side
    8,420.86x = 40,752,929.21
  5. Step 5: Solve for x
    x = 40,752,929.21/8,420.86
  6. Step 6: Final answer
    x = 4,839.52

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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.