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Finding the Fourth Proportional to 27,292, 40,937.99 and 7,570.56

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Solution

The fourth proportional to 27,292, 40,937.99 and 7,570.56 is: 11,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,292 : 40,937.99 = 7,570.56 : x
  2. Step 2: Convert to fraction form
    27,292/40,937.99 = 7,570.56/x
  3. Step 3: Cross multiply
    27,292x = 40,937.99 × 7,570.56
  4. Step 4: Simplify right side
    27,292x = 309,923,509.57
  5. Step 5: Solve for x
    x = 309,923,509.57/27,292
  6. Step 6: Final answer
    x = 11,355.84

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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.