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Finding the Fourth Proportional to 8,147.73, 11,254.02 and 6,281.96

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Solution

The fourth proportional to 8,147.73, 11,254.02 and 6,281.96 is: 8,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.73 : 11,254.02 = 6,281.96 : x
  2. Step 2: Convert to fraction form
    8,147.73/11,254.02 = 6,281.96/x
  3. Step 3: Cross multiply
    8,147.73x = 11,254.02 × 6,281.96
  4. Step 4: Simplify right side
    8,147.73x = 70,697,247.21
  5. Step 5: Solve for x
    x = 70,697,247.21/8,147.73
  6. Step 6: Final answer
    x = 8,676.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.