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Finding the Fourth Proportional to 8,230.02, 11,355.84 and 4,693.14

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Solution

The fourth proportional to 8,230.02, 11,355.84 and 4,693.14 is: 6,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.02 : 11,355.84 = 4,693.14 : x
  2. Step 2: Convert to fraction form
    8,230.02/11,355.84 = 4,693.14/x
  3. Step 3: Cross multiply
    8,230.02x = 11,355.84 × 4,693.14
  4. Step 4: Simplify right side
    8,230.02x = 53,294,546.94
  5. Step 5: Solve for x
    x = 53,294,546.94/8,230.02
  6. Step 6: Final answer
    x = 6,475.63

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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.