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Finding the Fourth Proportional to 7,765.88, 10,729.44 and 5,418.50

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Solution

The fourth proportional to 7,765.88, 10,729.44 and 5,418.50 is: 7,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.88 : 10,729.44 = 5,418.50 : x
  2. Step 2: Convert to fraction form
    7,765.88/10,729.44 = 5,418.50/x
  3. Step 3: Cross multiply
    7,765.88x = 10,729.44 × 5,418.50
  4. Step 4: Simplify right side
    7,765.88x = 58,137,470.64
  5. Step 5: Solve for x
    x = 58,137,470.64/7,765.88
  6. Step 6: Final answer
    x = 7,486.27

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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.