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Finding the Fourth Proportional to 6,706.23, 10,059.35 and 2,323.69

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Solution

The fourth proportional to 6,706.23, 10,059.35 and 2,323.69 is: 3,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.23 : 10,059.35 = 2,323.69 : x
  2. Step 2: Convert to fraction form
    6,706.23/10,059.35 = 2,323.69/x
  3. Step 3: Cross multiply
    6,706.23x = 10,059.35 × 2,323.69
  4. Step 4: Simplify right side
    6,706.23x = 23,374,775.87
  5. Step 5: Solve for x
    x = 23,374,775.87/6,706.23
  6. Step 6: Final answer
    x = 3,485.53

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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.