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Finding the Fourth Proportional to 10,856.73, 14,982.72 and 6,141

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Solution

The fourth proportional to 10,856.73, 14,982.72 and 6,141 is: 8,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.73 : 14,982.72 = 6,141 : x
  2. Step 2: Convert to fraction form
    10,856.73/14,982.72 = 6,141/x
  3. Step 3: Cross multiply
    10,856.73x = 14,982.72 × 6,141
  4. Step 4: Simplify right side
    10,856.73x = 92,008,883.52
  5. Step 5: Solve for x
    x = 92,008,883.52/10,856.73
  6. Step 6: Final answer
    x = 8,474.82

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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.