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Finding the Fourth Proportional to 11,311, 16,969.40 and 4,293.88

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Solution

The fourth proportional to 11,311, 16,969.40 and 4,293.88 is: 6,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311 : 16,969.40 = 4,293.88 : x
  2. Step 2: Convert to fraction form
    11,311/16,969.40 = 4,293.88/x
  3. Step 3: Cross multiply
    11,311x = 16,969.40 × 4,293.88
  4. Step 4: Simplify right side
    11,311x = 72,864,567.27
  5. Step 5: Solve for x
    x = 72,864,567.27/11,311
  6. Step 6: Final answer
    x = 6,441.92

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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.