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Finding the Fourth Proportional to 27,146.41, 40,722.48 and 7,425

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Solution

The fourth proportional to 27,146.41, 40,722.48 and 7,425 is: 11,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,146.41 : 40,722.48 = 7,425 : x
  2. Step 2: Convert to fraction form
    27,146.41/40,722.48 = 7,425/x
  3. Step 3: Cross multiply
    27,146.41x = 40,722.48 × 7,425
  4. Step 4: Simplify right side
    27,146.41x = 302,364,414
  5. Step 5: Solve for x
    x = 302,364,414/27,146.41
  6. Step 6: Final answer
    x = 11,138.28

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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.