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Finding the Fourth Proportional to 7,862.10, 10,849.73 and 4,325.33

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Solution

The fourth proportional to 7,862.10, 10,849.73 and 4,325.33 is: 5,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.10 : 10,849.73 = 4,325.33 : x
  2. Step 2: Convert to fraction form
    7,862.10/10,849.73 = 4,325.33/x
  3. Step 3: Cross multiply
    7,862.10x = 10,849.73 × 4,325.33
  4. Step 4: Simplify right side
    7,862.10x = 46,928,662.66
  5. Step 5: Solve for x
    x = 46,928,662.66/7,862.10
  6. Step 6: Final answer
    x = 5,968.97

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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.