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Finding the Fourth Proportional to 11,946.12, 16,485.22 and 6,641.16

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Solution

The fourth proportional to 11,946.12, 16,485.22 and 6,641.16 is: 9,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.12 : 16,485.22 = 6,641.16 : x
  2. Step 2: Convert to fraction form
    11,946.12/16,485.22 = 6,641.16/x
  3. Step 3: Cross multiply
    11,946.12x = 16,485.22 × 6,641.16
  4. Step 4: Simplify right side
    11,946.12x = 109,480,983.66
  5. Step 5: Solve for x
    x = 109,480,983.66/11,946.12
  6. Step 6: Final answer
    x = 9,164.56

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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.