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Finding the Fourth Proportional to 7,862.92, 10,850.96 and 4,326.46

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Solution

The fourth proportional to 7,862.92, 10,850.96 and 4,326.46 is: 5,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.92 : 10,850.96 = 4,326.46 : x
  2. Step 2: Convert to fraction form
    7,862.92/10,850.96 = 4,326.46/x
  3. Step 3: Cross multiply
    7,862.92x = 10,850.96 × 4,326.46
  4. Step 4: Simplify right side
    7,862.92x = 46,946,244.40
  5. Step 5: Solve for x
    x = 46,946,244.40/7,862.92
  6. Step 6: Final answer
    x = 5,970.59

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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.