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Finding the Fourth Proportional to 11,442.36, 17,164.32 and 3,651.76

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Solution

The fourth proportional to 11,442.36, 17,164.32 and 3,651.76 is: 5,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.36 : 17,164.32 = 3,651.76 : x
  2. Step 2: Convert to fraction form
    11,442.36/17,164.32 = 3,651.76/x
  3. Step 3: Cross multiply
    11,442.36x = 17,164.32 × 3,651.76
  4. Step 4: Simplify right side
    11,442.36x = 62,679,977.20
  5. Step 5: Solve for x
    x = 62,679,977.20/11,442.36
  6. Step 6: Final answer
    x = 5,477.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.