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Finding the Fourth Proportional to 7,770.96, 11,660.22 and 3,875.94

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Solution

The fourth proportional to 7,770.96, 11,660.22 and 3,875.94 is: 5,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.96 : 11,660.22 = 3,875.94 : x
  2. Step 2: Convert to fraction form
    7,770.96/11,660.22 = 3,875.94/x
  3. Step 3: Cross multiply
    7,770.96x = 11,660.22 × 3,875.94
  4. Step 4: Simplify right side
    7,770.96x = 45,194,313.11
  5. Step 5: Solve for x
    x = 45,194,313.11/7,770.96
  6. Step 6: Final answer
    x = 5,815.80

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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.