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Finding the Fourth Proportional to 10,407.54, 14,360.97 and 5,930.43

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Solution

The fourth proportional to 10,407.54, 14,360.97 and 5,930.43 is: 8,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.54 : 14,360.97 = 5,930.43 : x
  2. Step 2: Convert to fraction form
    10,407.54/14,360.97 = 5,930.43/x
  3. Step 3: Cross multiply
    10,407.54x = 14,360.97 × 5,930.43
  4. Step 4: Simplify right side
    10,407.54x = 85,166,727.32
  5. Step 5: Solve for x
    x = 85,166,727.32/10,407.54
  6. Step 6: Final answer
    x = 8,183.18

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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.