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Finding the Fourth Proportional to 7,770.43, 10,722.83 and 4,412.81

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Solution

The fourth proportional to 7,770.43, 10,722.83 and 4,412.81 is: 6,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.43 : 10,722.83 = 4,412.81 : x
  2. Step 2: Convert to fraction form
    7,770.43/10,722.83 = 4,412.81/x
  3. Step 3: Cross multiply
    7,770.43x = 10,722.83 × 4,412.81
  4. Step 4: Simplify right side
    7,770.43x = 47,317,735.77
  5. Step 5: Solve for x
    x = 47,317,735.77/7,770.43
  6. Step 6: Final answer
    x = 6,089.46

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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.