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Finding the Fourth Proportional to 7,954.56, 11,924.64 and 3,569.76

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Solution

The fourth proportional to 7,954.56, 11,924.64 and 3,569.76 is: 5,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.56 : 11,924.64 = 3,569.76 : x
  2. Step 2: Convert to fraction form
    7,954.56/11,924.64 = 3,569.76/x
  3. Step 3: Cross multiply
    7,954.56x = 11,924.64 × 3,569.76
  4. Step 4: Simplify right side
    7,954.56x = 42,568,102.89
  5. Step 5: Solve for x
    x = 42,568,102.89/7,954.56
  6. Step 6: Final answer
    x = 5,351.41

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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.