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Finding the Fourth Proportional to 25,057.78, 37,592.48 and 7,288.86

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Solution

The fourth proportional to 25,057.78, 37,592.48 and 7,288.86 is: 10,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,057.78 : 37,592.48 = 7,288.86 : x
  2. Step 2: Convert to fraction form
    25,057.78/37,592.48 = 7,288.86/x
  3. Step 3: Cross multiply
    25,057.78x = 37,592.48 × 7,288.86
  4. Step 4: Simplify right side
    25,057.78x = 274,006,287.33
  5. Step 5: Solve for x
    x = 274,006,287.33/25,057.78
  6. Step 6: Final answer
    x = 10,934.98

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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.