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Finding the Fourth Proportional to 7,774.70, 11,661.83 and 1,931.30

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Solution

The fourth proportional to 7,774.70, 11,661.83 and 1,931.30 is: 2,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.70 : 11,661.83 = 1,931.30 : x
  2. Step 2: Convert to fraction form
    7,774.70/11,661.83 = 1,931.30/x
  3. Step 3: Cross multiply
    7,774.70x = 11,661.83 × 1,931.30
  4. Step 4: Simplify right side
    7,774.70x = 22,522,424.31
  5. Step 5: Solve for x
    x = 22,522,424.31/7,774.70
  6. Step 6: Final answer
    x = 2,896.89

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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.