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Finding the Fourth Proportional to 25,053.78, 37,586.43 and 7,523.94

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Solution

The fourth proportional to 25,053.78, 37,586.43 and 7,523.94 is: 11,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,053.78 : 37,586.43 = 7,523.94 : x
  2. Step 2: Convert to fraction form
    25,053.78/37,586.43 = 7,523.94/x
  3. Step 3: Cross multiply
    25,053.78x = 37,586.43 × 7,523.94
  4. Step 4: Simplify right side
    25,053.78x = 282,798,044.13
  5. Step 5: Solve for x
    x = 282,798,044.13/25,053.78
  6. Step 6: Final answer
    x = 11,287.64

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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.