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Finding the Fourth Proportional to 11,628.93, 17,442.18 and 6,885.57

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Solution

The fourth proportional to 11,628.93, 17,442.18 and 6,885.57 is: 10,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.93 : 17,442.18 = 6,885.57 : x
  2. Step 2: Convert to fraction form
    11,628.93/17,442.18 = 6,885.57/x
  3. Step 3: Cross multiply
    11,628.93x = 17,442.18 × 6,885.57
  4. Step 4: Simplify right side
    11,628.93x = 120,099,351.34
  5. Step 5: Solve for x
    x = 120,099,351.34/11,628.93
  6. Step 6: Final answer
    x = 10,327.64

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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.