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Finding the Fourth Proportional to 11,198.66, 15,454.79 and 6,419.40

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Solution

The fourth proportional to 11,198.66, 15,454.79 and 6,419.40 is: 8,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.66 : 15,454.79 = 6,419.40 : x
  2. Step 2: Convert to fraction form
    11,198.66/15,454.79 = 6,419.40/x
  3. Step 3: Cross multiply
    11,198.66x = 15,454.79 × 6,419.40
  4. Step 4: Simplify right side
    11,198.66x = 99,210,388.87
  5. Step 5: Solve for x
    x = 99,210,388.87/11,198.66
  6. Step 6: Final answer
    x = 8,859.13

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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.