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Finding the Fourth Proportional to 7,862.89, 10,850.80 and 4,326.33

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Solution

The fourth proportional to 7,862.89, 10,850.80 and 4,326.33 is: 5,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.89 : 10,850.80 = 4,326.33 : x
  2. Step 2: Convert to fraction form
    7,862.89/10,850.80 = 4,326.33/x
  3. Step 3: Cross multiply
    7,862.89x = 10,850.80 × 4,326.33
  4. Step 4: Simplify right side
    7,862.89x = 46,944,098.13
  5. Step 5: Solve for x
    x = 46,944,098.13/7,862.89
  6. Step 6: Final answer
    x = 5,970.34

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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.