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Finding the Fourth Proportional to 7,954.12, 11,930.67 and 2,407.65

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Solution

The fourth proportional to 7,954.12, 11,930.67 and 2,407.65 is: 3,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.12 : 11,930.67 = 2,407.65 : x
  2. Step 2: Convert to fraction form
    7,954.12/11,930.67 = 2,407.65/x
  3. Step 3: Cross multiply
    7,954.12x = 11,930.67 × 2,407.65
  4. Step 4: Simplify right side
    7,954.12x = 28,724,877.63
  5. Step 5: Solve for x
    x = 28,724,877.63/7,954.12
  6. Step 6: Final answer
    x = 3,611.32

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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.