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Finding the Fourth Proportional to 11,569.96, 15,964.74 and 6,853.48

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Solution

The fourth proportional to 11,569.96, 15,964.74 and 6,853.48 is: 9,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.96 : 15,964.74 = 6,853.48 : x
  2. Step 2: Convert to fraction form
    11,569.96/15,964.74 = 6,853.48/x
  3. Step 3: Cross multiply
    11,569.96x = 15,964.74 × 6,853.48
  4. Step 4: Simplify right side
    11,569.96x = 109,414,026.30
  5. Step 5: Solve for x
    x = 109,414,026.30/11,569.96
  6. Step 6: Final answer
    x = 9,456.73

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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.