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Finding the Fourth Proportional to 25,267.50, 37,902.78 and 7,737.48

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Solution

The fourth proportional to 25,267.50, 37,902.78 and 7,737.48 is: 11,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,267.50 : 37,902.78 = 7,737.48 : x
  2. Step 2: Convert to fraction form
    25,267.50/37,902.78 = 7,737.48/x
  3. Step 3: Cross multiply
    25,267.50x = 37,902.78 × 7,737.48
  4. Step 4: Simplify right side
    25,267.50x = 293,272,002.19
  5. Step 5: Solve for x
    x = 293,272,002.19/25,267.50
  6. Step 6: Final answer
    x = 11,606.69

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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.