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Finding the Fourth Proportional to 7,770.84, 10,722.96 and 4,626.42

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Solution

The fourth proportional to 7,770.84, 10,722.96 and 4,626.42 is: 6,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.84 : 10,722.96 = 4,626.42 : x
  2. Step 2: Convert to fraction form
    7,770.84/10,722.96 = 4,626.42/x
  3. Step 3: Cross multiply
    7,770.84x = 10,722.96 × 4,626.42
  4. Step 4: Simplify right side
    7,770.84x = 49,608,916.60
  5. Step 5: Solve for x
    x = 49,608,916.60/7,770.84
  6. Step 6: Final answer
    x = 6,383.98

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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.