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Finding the Fourth Proportional to 7,850.25, 10,833.05 and 4,265.06

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Solution

The fourth proportional to 7,850.25, 10,833.05 and 4,265.06 is: 5,885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.25 : 10,833.05 = 4,265.06 : x
  2. Step 2: Convert to fraction form
    7,850.25/10,833.05 = 4,265.06/x
  3. Step 3: Cross multiply
    7,850.25x = 10,833.05 × 4,265.06
  4. Step 4: Simplify right side
    7,850.25x = 46,203,564.73
  5. Step 5: Solve for x
    x = 46,203,564.73/7,850.25
  6. Step 6: Final answer
    x = 5,885.62

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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.