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Finding the Fourth Proportional to 11,635.98, 17,383.16 and 7,442.46

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Solution

The fourth proportional to 11,635.98, 17,383.16 and 7,442.46 is: 11,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.98 : 17,383.16 = 7,442.46 : x
  2. Step 2: Convert to fraction form
    11,635.98/17,383.16 = 7,442.46/x
  3. Step 3: Cross multiply
    11,635.98x = 17,383.16 × 7,442.46
  4. Step 4: Simplify right side
    11,635.98x = 129,373,435.76
  5. Step 5: Solve for x
    x = 129,373,435.76/11,635.98
  6. Step 6: Final answer
    x = 11,118.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.