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Finding the Fourth Proportional to 7,729.88, 11,589.78 and 5,089.40

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Solution

The fourth proportional to 7,729.88, 11,589.78 and 5,089.40 is: 7,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.88 : 11,589.78 = 5,089.40 : x
  2. Step 2: Convert to fraction form
    7,729.88/11,589.78 = 5,089.40/x
  3. Step 3: Cross multiply
    7,729.88x = 11,589.78 × 5,089.40
  4. Step 4: Simplify right side
    7,729.88x = 58,984,968.38
  5. Step 5: Solve for x
    x = 58,984,968.38/7,729.88
  6. Step 6: Final answer
    x = 7,630.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.