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Finding the Fourth Proportional to 7,924.82, 11,886.51 and 2,379.40

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Solution

The fourth proportional to 7,924.82, 11,886.51 and 2,379.40 is: 3,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.82 : 11,886.51 = 2,379.40 : x
  2. Step 2: Convert to fraction form
    7,924.82/11,886.51 = 2,379.40/x
  3. Step 3: Cross multiply
    7,924.82x = 11,886.51 × 2,379.40
  4. Step 4: Simplify right side
    7,924.82x = 28,282,741.10
  5. Step 5: Solve for x
    x = 28,282,741.10/7,924.82
  6. Step 6: Final answer
    x = 3,568.88

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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.