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Finding the Fourth Proportional to 10,407.86, 14,362.05 and 5,930.72

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Solution

The fourth proportional to 10,407.86, 14,362.05 and 5,930.72 is: 8,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.86 : 14,362.05 = 5,930.72 : x
  2. Step 2: Convert to fraction form
    10,407.86/14,362.05 = 5,930.72/x
  3. Step 3: Cross multiply
    10,407.86x = 14,362.05 × 5,930.72
  4. Step 4: Simplify right side
    10,407.86x = 85,177,297.18
  5. Step 5: Solve for x
    x = 85,177,297.18/10,407.86
  6. Step 6: Final answer
    x = 8,183.94

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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.