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Finding the Fourth Proportional to 11,433.70, 15,778.83 and 6,398.11

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Solution

The fourth proportional to 11,433.70, 15,778.83 and 6,398.11 is: 8,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.70 : 15,778.83 = 6,398.11 : x
  2. Step 2: Convert to fraction form
    11,433.70/15,778.83 = 6,398.11/x
  3. Step 3: Cross multiply
    11,433.70x = 15,778.83 × 6,398.11
  4. Step 4: Simplify right side
    11,433.70x = 100,954,690.01
  5. Step 5: Solve for x
    x = 100,954,690.01/11,433.70
  6. Step 6: Final answer
    x = 8,829.57

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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.