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Finding the Fourth Proportional to 10,656.37, 14,706.21 and 5,940.96

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Solution

The fourth proportional to 10,656.37, 14,706.21 and 5,940.96 is: 8,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.37 : 14,706.21 = 5,940.96 : x
  2. Step 2: Convert to fraction form
    10,656.37/14,706.21 = 5,940.96/x
  3. Step 3: Cross multiply
    10,656.37x = 14,706.21 × 5,940.96
  4. Step 4: Simplify right side
    10,656.37x = 87,369,005.36
  5. Step 5: Solve for x
    x = 87,369,005.36/10,656.37
  6. Step 6: Final answer
    x = 8,198.76

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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.