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Finding the Fourth Proportional to 10,339.68, 14,268.76 and 5,623.94

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Solution

The fourth proportional to 10,339.68, 14,268.76 and 5,623.94 is: 7,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.68 : 14,268.76 = 5,623.94 : x
  2. Step 2: Convert to fraction form
    10,339.68/14,268.76 = 5,623.94/x
  3. Step 3: Cross multiply
    10,339.68x = 14,268.76 × 5,623.94
  4. Step 4: Simplify right side
    10,339.68x = 80,246,650.11
  5. Step 5: Solve for x
    x = 80,246,650.11/10,339.68
  6. Step 6: Final answer
    x = 7,761.04

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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.