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Finding the Fourth Proportional to 8,235.27, 11,357.49 and 6,641.46

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Solution

The fourth proportional to 8,235.27, 11,357.49 and 6,641.46 is: 9,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.27 : 11,357.49 = 6,641.46 : x
  2. Step 2: Convert to fraction form
    8,235.27/11,357.49 = 6,641.46/x
  3. Step 3: Cross multiply
    8,235.27x = 11,357.49 × 6,641.46
  4. Step 4: Simplify right side
    8,235.27x = 75,430,315.54
  5. Step 5: Solve for x
    x = 75,430,315.54/8,235.27
  6. Step 6: Final answer
    x = 9,159.42

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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.