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Finding the Fourth Proportional to 11,199.71, 15,454.74 and 6,419.59

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Solution

The fourth proportional to 11,199.71, 15,454.74 and 6,419.59 is: 8,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.71 : 15,454.74 = 6,419.59 : x
  2. Step 2: Convert to fraction form
    11,199.71/15,454.74 = 6,419.59/x
  3. Step 3: Cross multiply
    11,199.71x = 15,454.74 × 6,419.59
  4. Step 4: Simplify right side
    11,199.71x = 99,213,094.36
  5. Step 5: Solve for x
    x = 99,213,094.36/11,199.71
  6. Step 6: Final answer
    x = 8,858.54

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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.