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Finding the Fourth Proportional to 7,771.56, 10,726.41 and 5,119.20

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Solution

The fourth proportional to 7,771.56, 10,726.41 and 5,119.20 is: 7,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.56 : 10,726.41 = 5,119.20 : x
  2. Step 2: Convert to fraction form
    7,771.56/10,726.41 = 5,119.20/x
  3. Step 3: Cross multiply
    7,771.56x = 10,726.41 × 5,119.20
  4. Step 4: Simplify right side
    7,771.56x = 54,910,638.07
  5. Step 5: Solve for x
    x = 54,910,638.07/7,771.56
  6. Step 6: Final answer
    x = 7,065.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.