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Finding the Fourth Proportional to 8,048.22, 12,078.90 and 4,153.74

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Solution

The fourth proportional to 8,048.22, 12,078.90 and 4,153.74 is: 6,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.22 : 12,078.90 = 4,153.74 : x
  2. Step 2: Convert to fraction form
    8,048.22/12,078.90 = 4,153.74/x
  3. Step 3: Cross multiply
    8,048.22x = 12,078.90 × 4,153.74
  4. Step 4: Simplify right side
    8,048.22x = 50,172,610.09
  5. Step 5: Solve for x
    x = 50,172,610.09/8,048.22
  6. Step 6: Final answer
    x = 6,234.00

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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.