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Finding the Fourth Proportional to 10,161.74, 14,024.06 and 5,856.18

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Solution

The fourth proportional to 10,161.74, 14,024.06 and 5,856.18 is: 8,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.74 : 14,024.06 = 5,856.18 : x
  2. Step 2: Convert to fraction form
    10,161.74/14,024.06 = 5,856.18/x
  3. Step 3: Cross multiply
    10,161.74x = 14,024.06 × 5,856.18
  4. Step 4: Simplify right side
    10,161.74x = 82,127,390.41
  5. Step 5: Solve for x
    x = 82,127,390.41/10,161.74
  6. Step 6: Final answer
    x = 8,082.02

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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.