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Finding the Fourth Proportional to 11,800.13, 16,284.19 and 6,422.54

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Solution

The fourth proportional to 11,800.13, 16,284.19 and 6,422.54 is: 8,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.13 : 16,284.19 = 6,422.54 : x
  2. Step 2: Convert to fraction form
    11,800.13/16,284.19 = 6,422.54/x
  3. Step 3: Cross multiply
    11,800.13x = 16,284.19 × 6,422.54
  4. Step 4: Simplify right side
    11,800.13x = 104,585,867.81
  5. Step 5: Solve for x
    x = 104,585,867.81/11,800.13
  6. Step 6: Final answer
    x = 8,863.11

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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.