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Finding the Fourth Proportional to 25,305, 37,957 and 7,774.44

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Solution

The fourth proportional to 25,305, 37,957 and 7,774.44 is: 11,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,305 : 37,957 = 7,774.44 : x
  2. Step 2: Convert to fraction form
    25,305/37,957 = 7,774.44/x
  3. Step 3: Cross multiply
    25,305x = 37,957 × 7,774.44
  4. Step 4: Simplify right side
    25,305x = 295,094,419.08
  5. Step 5: Solve for x
    x = 295,094,419.08/25,305
  6. Step 6: Final answer
    x = 11,661.51

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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.