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Finding the Fourth Proportional to 27,133.62, 40,694.94 and 7,410.53

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Solution

The fourth proportional to 27,133.62, 40,694.94 and 7,410.53 is: 11,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,133.62 : 40,694.94 = 7,410.53 : x
  2. Step 2: Convert to fraction form
    27,133.62/40,694.94 = 7,410.53/x
  3. Step 3: Cross multiply
    27,133.62x = 40,694.94 × 7,410.53
  4. Step 4: Simplify right side
    27,133.62x = 301,570,870.24
  5. Step 5: Solve for x
    x = 301,570,870.24/27,133.62
  6. Step 6: Final answer
    x = 11,114.29

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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.