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Finding the Fourth Proportional to 8,264.67, 11,405.17 and 4,487.76

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Solution

The fourth proportional to 8,264.67, 11,405.17 and 4,487.76 is: 6,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.67 : 11,405.17 = 4,487.76 : x
  2. Step 2: Convert to fraction form
    8,264.67/11,405.17 = 4,487.76/x
  3. Step 3: Cross multiply
    8,264.67x = 11,405.17 × 4,487.76
  4. Step 4: Simplify right side
    8,264.67x = 51,183,665.72
  5. Step 5: Solve for x
    x = 51,183,665.72/8,264.67
  6. Step 6: Final answer
    x = 6,193.07

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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.