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Finding the Fourth Proportional to 7,768.98, 11,630.05 and 4,989.74

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Solution

The fourth proportional to 7,768.98, 11,630.05 and 4,989.74 is: 7,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.98 : 11,630.05 = 4,989.74 : x
  2. Step 2: Convert to fraction form
    7,768.98/11,630.05 = 4,989.74/x
  3. Step 3: Cross multiply
    7,768.98x = 11,630.05 × 4,989.74
  4. Step 4: Simplify right side
    7,768.98x = 58,030,855.06
  5. Step 5: Solve for x
    x = 58,030,855.06/7,768.98
  6. Step 6: Final answer
    x = 7,469.56

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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.