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Finding the Fourth Proportional to 10,340.22, 14,269.95 and 5,863.95

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Solution

The fourth proportional to 10,340.22, 14,269.95 and 5,863.95 is: 8,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.22 : 14,269.95 = 5,863.95 : x
  2. Step 2: Convert to fraction form
    10,340.22/14,269.95 = 5,863.95/x
  3. Step 3: Cross multiply
    10,340.22x = 14,269.95 × 5,863.95
  4. Step 4: Simplify right side
    10,340.22x = 83,678,273.30
  5. Step 5: Solve for x
    x = 83,678,273.30/10,340.22
  6. Step 6: Final answer
    x = 8,092.50

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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.