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Finding the Fourth Proportional to 7,754.50, 11,651.01 and 4,982.50

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Solution

The fourth proportional to 7,754.50, 11,651.01 and 4,982.50 is: 7,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.50 : 11,651.01 = 4,982.50 : x
  2. Step 2: Convert to fraction form
    7,754.50/11,651.01 = 4,982.50/x
  3. Step 3: Cross multiply
    7,754.50x = 11,651.01 × 4,982.50
  4. Step 4: Simplify right side
    7,754.50x = 58,051,157.33
  5. Step 5: Solve for x
    x = 58,051,157.33/7,754.50
  6. Step 6: Final answer
    x = 7,486.13

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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.