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Finding the Fourth Proportional to 7,869.19, 11,805.06 and 3,189.49

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Solution

The fourth proportional to 7,869.19, 11,805.06 and 3,189.49 is: 4,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.19 : 11,805.06 = 3,189.49 : x
  2. Step 2: Convert to fraction form
    7,869.19/11,805.06 = 3,189.49/x
  3. Step 3: Cross multiply
    7,869.19x = 11,805.06 × 3,189.49
  4. Step 4: Simplify right side
    7,869.19x = 37,652,120.82
  5. Step 5: Solve for x
    x = 37,652,120.82/7,869.19
  6. Step 6: Final answer
    x = 4,784.75

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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.