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Finding the Fourth Proportional to 11,853.77, 16,351.35 and 7,662.02

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Solution

The fourth proportional to 11,853.77, 16,351.35 and 7,662.02 is: 10,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.77 : 16,351.35 = 7,662.02 : x
  2. Step 2: Convert to fraction form
    11,853.77/16,351.35 = 7,662.02/x
  3. Step 3: Cross multiply
    11,853.77x = 16,351.35 × 7,662.02
  4. Step 4: Simplify right side
    11,853.77x = 125,284,370.73
  5. Step 5: Solve for x
    x = 125,284,370.73/11,853.77
  6. Step 6: Final answer
    x = 10,569.16

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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.