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Finding the Fourth Proportional to 11,961.96, 16,509.06 and 7,246.32

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Solution

The fourth proportional to 11,961.96, 16,509.06 and 7,246.32 is: 10,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.96 : 16,509.06 = 7,246.32 : x
  2. Step 2: Convert to fraction form
    11,961.96/16,509.06 = 7,246.32/x
  3. Step 3: Cross multiply
    11,961.96x = 16,509.06 × 7,246.32
  4. Step 4: Simplify right side
    11,961.96x = 119,629,931.66
  5. Step 5: Solve for x
    x = 119,629,931.66/11,961.96
  6. Step 6: Final answer
    x = 10,000.86

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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.