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Finding the Fourth Proportional to 8,283.12, 11,427.90 and 4,697.68

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Solution

The fourth proportional to 8,283.12, 11,427.90 and 4,697.68 is: 6,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.12 : 11,427.90 = 4,697.68 : x
  2. Step 2: Convert to fraction form
    8,283.12/11,427.90 = 4,697.68/x
  3. Step 3: Cross multiply
    8,283.12x = 11,427.90 × 4,697.68
  4. Step 4: Simplify right side
    8,283.12x = 53,684,617.27
  5. Step 5: Solve for x
    x = 53,684,617.27/8,283.12
  6. Step 6: Final answer
    x = 6,481.21

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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.