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Finding the Fourth Proportional to 7,850.68, 10,834.23 and 4,706.26

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Solution

The fourth proportional to 7,850.68, 10,834.23 and 4,706.26 is: 6,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.68 : 10,834.23 = 4,706.26 : x
  2. Step 2: Convert to fraction form
    7,850.68/10,834.23 = 4,706.26/x
  3. Step 3: Cross multiply
    7,850.68x = 10,834.23 × 4,706.26
  4. Step 4: Simplify right side
    7,850.68x = 50,988,703.28
  5. Step 5: Solve for x
    x = 50,988,703.28/7,850.68
  6. Step 6: Final answer
    x = 6,494.81

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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.