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Finding the Fourth Proportional to 7,770.70, 11,647.01 and 4,441.28

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Solution

The fourth proportional to 7,770.70, 11,647.01 and 4,441.28 is: 6,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.70 : 11,647.01 = 4,441.28 : x
  2. Step 2: Convert to fraction form
    7,770.70/11,647.01 = 4,441.28/x
  3. Step 3: Cross multiply
    7,770.70x = 11,647.01 × 4,441.28
  4. Step 4: Simplify right side
    7,770.70x = 51,727,632.57
  5. Step 5: Solve for x
    x = 51,727,632.57/7,770.70
  6. Step 6: Final answer
    x = 6,656.75

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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.