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Finding the Fourth Proportional to 11,455.26, 15,808.87 and 6,419.22

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Solution

The fourth proportional to 11,455.26, 15,808.87 and 6,419.22 is: 8,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.26 : 15,808.87 = 6,419.22 : x
  2. Step 2: Convert to fraction form
    11,455.26/15,808.87 = 6,419.22/x
  3. Step 3: Cross multiply
    11,455.26x = 15,808.87 × 6,419.22
  4. Step 4: Simplify right side
    11,455.26x = 101,480,563.22
  5. Step 5: Solve for x
    x = 101,480,563.22/11,455.26
  6. Step 6: Final answer
    x = 8,858.86

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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.