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Finding the Fourth Proportional to 25,971.75, 38,964.11 and 7,503.75

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Solution

The fourth proportional to 25,971.75, 38,964.11 and 7,503.75 is: 11,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,971.75 : 38,964.11 = 7,503.75 : x
  2. Step 2: Convert to fraction form
    25,971.75/38,964.11 = 7,503.75/x
  3. Step 3: Cross multiply
    25,971.75x = 38,964.11 × 7,503.75
  4. Step 4: Simplify right side
    25,971.75x = 292,376,902.89
  5. Step 5: Solve for x
    x = 292,376,902.89/25,971.75
  6. Step 6: Final answer
    x = 11,257.50

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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.