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Finding the Fourth Proportional to 11,928.06, 16,464.06 and 7,449.30

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Solution

The fourth proportional to 11,928.06, 16,464.06 and 7,449.30 is: 10,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.06 : 16,464.06 = 7,449.30 : x
  2. Step 2: Convert to fraction form
    11,928.06/16,464.06 = 7,449.30/x
  3. Step 3: Cross multiply
    11,928.06x = 16,464.06 × 7,449.30
  4. Step 4: Simplify right side
    11,928.06x = 122,645,722.16
  5. Step 5: Solve for x
    x = 122,645,722.16/11,928.06
  6. Step 6: Final answer
    x = 10,282.12

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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.