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Finding the Fourth Proportional to 11,951.33, 16,493.18 and 6,646.47

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Solution

The fourth proportional to 11,951.33, 16,493.18 and 6,646.47 is: 9,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.33 : 16,493.18 = 6,646.47 : x
  2. Step 2: Convert to fraction form
    11,951.33/16,493.18 = 6,646.47/x
  3. Step 3: Cross multiply
    11,951.33x = 16,493.18 × 6,646.47
  4. Step 4: Simplify right side
    11,951.33x = 109,621,426.07
  5. Step 5: Solve for x
    x = 109,621,426.07/11,951.33
  6. Step 6: Final answer
    x = 9,172.32

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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.