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Finding the Fourth Proportional to 7,850.66, 10,833.89 and 4,314.09

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Solution

The fourth proportional to 7,850.66, 10,833.89 and 4,314.09 is: 5,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.66 : 10,833.89 = 4,314.09 : x
  2. Step 2: Convert to fraction form
    7,850.66/10,833.89 = 4,314.09/x
  3. Step 3: Cross multiply
    7,850.66x = 10,833.89 × 4,314.09
  4. Step 4: Simplify right side
    7,850.66x = 46,738,387.30
  5. Step 5: Solve for x
    x = 46,738,387.30/7,850.66
  6. Step 6: Final answer
    x = 5,953.44

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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.