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Finding the Fourth Proportional to 11,975.36, 17,983.06 and 7,482.88

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Solution

The fourth proportional to 11,975.36, 17,983.06 and 7,482.88 is: 11,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.36 : 17,983.06 = 7,482.88 : x
  2. Step 2: Convert to fraction form
    11,975.36/17,983.06 = 7,482.88/x
  3. Step 3: Cross multiply
    11,975.36x = 17,983.06 × 7,482.88
  4. Step 4: Simplify right side
    11,975.36x = 134,565,016.35
  5. Step 5: Solve for x
    x = 134,565,016.35/11,975.36
  6. Step 6: Final answer
    x = 11,236.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.