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Finding the Fourth Proportional to 8,287.11, 11,435.85 and 4,749.66

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Solution

The fourth proportional to 8,287.11, 11,435.85 and 4,749.66 is: 6,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.11 : 11,435.85 = 4,749.66 : x
  2. Step 2: Convert to fraction form
    8,287.11/11,435.85 = 4,749.66/x
  3. Step 3: Cross multiply
    8,287.11x = 11,435.85 × 4,749.66
  4. Step 4: Simplify right side
    8,287.11x = 54,316,399.31
  5. Step 5: Solve for x
    x = 54,316,399.31/8,287.11
  6. Step 6: Final answer
    x = 6,554.32

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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.