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Finding the Fourth Proportional to 6,735.05, 10,069.31 and 5,706.55

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Solution

The fourth proportional to 6,735.05, 10,069.31 and 5,706.55 is: 8,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.05 : 10,069.31 = 5,706.55 : x
  2. Step 2: Convert to fraction form
    6,735.05/10,069.31 = 5,706.55/x
  3. Step 3: Cross multiply
    6,735.05x = 10,069.31 × 5,706.55
  4. Step 4: Simplify right side
    6,735.05x = 57,461,047.83
  5. Step 5: Solve for x
    x = 57,461,047.83/6,735.05
  6. Step 6: Final answer
    x = 8,531.65

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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.