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Finding the Fourth Proportional to 27,453, 41,180.49 and 7,733.28

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Solution

The fourth proportional to 27,453, 41,180.49 and 7,733.28 is: 11,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,453 : 41,180.49 = 7,733.28 : x
  2. Step 2: Convert to fraction form
    27,453/41,180.49 = 7,733.28/x
  3. Step 3: Cross multiply
    27,453x = 41,180.49 × 7,733.28
  4. Step 4: Simplify right side
    27,453x = 318,460,259.71
  5. Step 5: Solve for x
    x = 318,460,259.71/27,453
  6. Step 6: Final answer
    x = 11,600.20

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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.