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Finding the Fourth Proportional to 6,706.29, 10,059.64 and 3,196.68

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Solution

The fourth proportional to 6,706.29, 10,059.64 and 3,196.68 is: 4,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.29 : 10,059.64 = 3,196.68 : x
  2. Step 2: Convert to fraction form
    6,706.29/10,059.64 = 3,196.68/x
  3. Step 3: Cross multiply
    6,706.29x = 10,059.64 × 3,196.68
  4. Step 4: Simplify right side
    6,706.29x = 32,157,409.83
  5. Step 5: Solve for x
    x = 32,157,409.83/6,706.29
  6. Step 6: Final answer
    x = 4,795.11

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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.