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Finding the Fourth Proportional to 7,954.65, 11,928.21 and 2,953.58

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Solution

The fourth proportional to 7,954.65, 11,928.21 and 2,953.58 is: 4,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.65 : 11,928.21 = 2,953.58 : x
  2. Step 2: Convert to fraction form
    7,954.65/11,928.21 = 2,953.58/x
  3. Step 3: Cross multiply
    7,954.65x = 11,928.21 × 2,953.58
  4. Step 4: Simplify right side
    7,954.65x = 35,230,862.85
  5. Step 5: Solve for x
    x = 35,230,862.85/7,954.65
  6. Step 6: Final answer
    x = 4,428.96

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Why These Related Problems?

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