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Finding the Fourth Proportional to 7,954.07, 11,933.06 and 5,618.66

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Solution

The fourth proportional to 7,954.07, 11,933.06 and 5,618.66 is: 8,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.07 : 11,933.06 = 5,618.66 : x
  2. Step 2: Convert to fraction form
    7,954.07/11,933.06 = 5,618.66/x
  3. Step 3: Cross multiply
    7,954.07x = 11,933.06 × 5,618.66
  4. Step 4: Simplify right side
    7,954.07x = 67,047,719.14
  5. Step 5: Solve for x
    x = 67,047,719.14/7,954.07
  6. Step 6: Final answer
    x = 8,429.37

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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.