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Finding the Fourth Proportional to 11,233.78, 16,856.74 and 4,664.50

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Solution

The fourth proportional to 11,233.78, 16,856.74 and 4,664.50 is: 6,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233.78 : 16,856.74 = 4,664.50 : x
  2. Step 2: Convert to fraction form
    11,233.78/16,856.74 = 4,664.50/x
  3. Step 3: Cross multiply
    11,233.78x = 16,856.74 × 4,664.50
  4. Step 4: Simplify right side
    11,233.78x = 78,628,263.73
  5. Step 5: Solve for x
    x = 78,628,263.73/11,233.78
  6. Step 6: Final answer
    x = 6,999.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.