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Finding the Fourth Proportional to 7,850.67, 10,834.52 and 4,494.53

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Solution

The fourth proportional to 7,850.67, 10,834.52 and 4,494.53 is: 6,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.67 : 10,834.52 = 4,494.53 : x
  2. Step 2: Convert to fraction form
    7,850.67/10,834.52 = 4,494.53/x
  3. Step 3: Cross multiply
    7,850.67x = 10,834.52 × 4,494.53
  4. Step 4: Simplify right side
    7,850.67x = 48,696,075.18
  5. Step 5: Solve for x
    x = 48,696,075.18/7,850.67
  6. Step 6: Final answer
    x = 6,202.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.