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Finding the Fourth Proportional to 8,153.54, 12,234.48 and 3,884.10

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Solution

The fourth proportional to 8,153.54, 12,234.48 and 3,884.10 is: 5,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.54 : 12,234.48 = 3,884.10 : x
  2. Step 2: Convert to fraction form
    8,153.54/12,234.48 = 3,884.10/x
  3. Step 3: Cross multiply
    8,153.54x = 12,234.48 × 3,884.10
  4. Step 4: Simplify right side
    8,153.54x = 47,519,943.77
  5. Step 5: Solve for x
    x = 47,519,943.77/8,153.54
  6. Step 6: Final answer
    x = 5,828.14

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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.