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Finding the Fourth Proportional to 11,984.32, 16,538.36 and 6,951.46

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Solution

The fourth proportional to 11,984.32, 16,538.36 and 6,951.46 is: 9,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.32 : 16,538.36 = 6,951.46 : x
  2. Step 2: Convert to fraction form
    11,984.32/16,538.36 = 6,951.46/x
  3. Step 3: Cross multiply
    11,984.32x = 16,538.36 × 6,951.46
  4. Step 4: Simplify right side
    11,984.32x = 114,965,748.01
  5. Step 5: Solve for x
    x = 114,965,748.01/11,984.32
  6. Step 6: Final answer
    x = 9,593.01

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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.