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Finding the Fourth Proportional to 25,972.80, 38,956.32 and 7,504.80

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Solution

The fourth proportional to 25,972.80, 38,956.32 and 7,504.80 is: 11,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,972.80 : 38,956.32 = 7,504.80 : x
  2. Step 2: Convert to fraction form
    25,972.80/38,956.32 = 7,504.80/x
  3. Step 3: Cross multiply
    25,972.80x = 38,956.32 × 7,504.80
  4. Step 4: Simplify right side
    25,972.80x = 292,359,390.34
  5. Step 5: Solve for x
    x = 292,359,390.34/25,972.80
  6. Step 6: Final answer
    x = 11,256.37

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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.