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Finding the Fourth Proportional to 11,849.35, 16,353.07 and 6,815.20

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Solution

The fourth proportional to 11,849.35, 16,353.07 and 6,815.20 is: 9,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.35 : 16,353.07 = 6,815.20 : x
  2. Step 2: Convert to fraction form
    11,849.35/16,353.07 = 6,815.20/x
  3. Step 3: Cross multiply
    11,849.35x = 16,353.07 × 6,815.20
  4. Step 4: Simplify right side
    11,849.35x = 111,449,442.66
  5. Step 5: Solve for x
    x = 111,449,442.66/11,849.35
  6. Step 6: Final answer
    x = 9,405.53

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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.