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Finding the Fourth Proportional to 7,502.94, 11,255.22 and 3,805.38

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Solution

The fourth proportional to 7,502.94, 11,255.22 and 3,805.38 is: 5,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.94 : 11,255.22 = 3,805.38 : x
  2. Step 2: Convert to fraction form
    7,502.94/11,255.22 = 3,805.38/x
  3. Step 3: Cross multiply
    7,502.94x = 11,255.22 × 3,805.38
  4. Step 4: Simplify right side
    7,502.94x = 42,830,389.08
  5. Step 5: Solve for x
    x = 42,830,389.08/7,502.94
  6. Step 6: Final answer
    x = 5,708.48

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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.