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Finding the Fourth Proportional to 11,800.18, 16,289.66 and 8,399.40

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Solution

The fourth proportional to 11,800.18, 16,289.66 and 8,399.40 is: 11,595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.18 : 16,289.66 = 8,399.40 : x
  2. Step 2: Convert to fraction form
    11,800.18/16,289.66 = 8,399.40/x
  3. Step 3: Cross multiply
    11,800.18x = 16,289.66 × 8,399.40
  4. Step 4: Simplify right side
    11,800.18x = 136,823,282.87
  5. Step 5: Solve for x
    x = 136,823,282.87/11,800.18
  6. Step 6: Final answer
    x = 11,595.02

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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.