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Finding the Fourth Proportional to 8,427.36, 11,622.90 and 7,416.88

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Solution

The fourth proportional to 8,427.36, 11,622.90 and 7,416.88 is: 10,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.36 : 11,622.90 = 7,416.88 : x
  2. Step 2: Convert to fraction form
    8,427.36/11,622.90 = 7,416.88/x
  3. Step 3: Cross multiply
    8,427.36x = 11,622.90 × 7,416.88
  4. Step 4: Simplify right side
    8,427.36x = 86,205,654.55
  5. Step 5: Solve for x
    x = 86,205,654.55/8,427.36
  6. Step 6: Final answer
    x = 10,229.26

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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.