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Finding the Fourth Proportional to 8,282.95, 11,427.89 and 4,697.63

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Solution

The fourth proportional to 8,282.95, 11,427.89 and 4,697.63 is: 6,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.95 : 11,427.89 = 4,697.63 : x
  2. Step 2: Convert to fraction form
    8,282.95/11,427.89 = 4,697.63/x
  3. Step 3: Cross multiply
    8,282.95x = 11,427.89 × 4,697.63
  4. Step 4: Simplify right side
    8,282.95x = 53,683,998.90
  5. Step 5: Solve for x
    x = 53,683,998.90/8,282.95
  6. Step 6: Final answer
    x = 6,481.27

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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.