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Finding the Fourth Proportional to 10,471.56, 14,443.02 and 8,108.52

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Solution

The fourth proportional to 10,471.56, 14,443.02 and 8,108.52 is: 11,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.56 : 14,443.02 = 8,108.52 : x
  2. Step 2: Convert to fraction form
    10,471.56/14,443.02 = 8,108.52/x
  3. Step 3: Cross multiply
    10,471.56x = 14,443.02 × 8,108.52
  4. Step 4: Simplify right side
    10,471.56x = 117,111,516.53
  5. Step 5: Solve for x
    x = 117,111,516.53/10,471.56
  6. Step 6: Final answer
    x = 11,183.77

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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.