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Finding the Fourth Proportional to 7,774.05, 11,660.87 and 1,930.59

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Solution

The fourth proportional to 7,774.05, 11,660.87 and 1,930.59 is: 2,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.05 : 11,660.87 = 1,930.59 : x
  2. Step 2: Convert to fraction form
    7,774.05/11,660.87 = 1,930.59/x
  3. Step 3: Cross multiply
    7,774.05x = 11,660.87 × 1,930.59
  4. Step 4: Simplify right side
    7,774.05x = 22,512,349.36
  5. Step 5: Solve for x
    x = 22,512,349.36/7,774.05
  6. Step 6: Final answer
    x = 2,895.83

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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.