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Finding the Fourth Proportional to 11,856.73, 16,359.92 and 7,141.32

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Solution

The fourth proportional to 11,856.73, 16,359.92 and 7,141.32 is: 9,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.73 : 16,359.92 = 7,141.32 : x
  2. Step 2: Convert to fraction form
    11,856.73/16,359.92 = 7,141.32/x
  3. Step 3: Cross multiply
    11,856.73x = 16,359.92 × 7,141.32
  4. Step 4: Simplify right side
    11,856.73x = 116,831,342.09
  5. Step 5: Solve for x
    x = 116,831,342.09/11,856.73
  6. Step 6: Final answer
    x = 9,853.59

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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.