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Finding the Fourth Proportional to 25,271.34, 37,907.01 and 7,738.89

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Solution

The fourth proportional to 25,271.34, 37,907.01 and 7,738.89 is: 11,608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,271.34 : 37,907.01 = 7,738.89 : x
  2. Step 2: Convert to fraction form
    25,271.34/37,907.01 = 7,738.89/x
  3. Step 3: Cross multiply
    25,271.34x = 37,907.01 × 7,738.89
  4. Step 4: Simplify right side
    25,271.34x = 293,358,161.27
  5. Step 5: Solve for x
    x = 293,358,161.27/25,271.34
  6. Step 6: Final answer
    x = 11,608.33

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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.