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Finding the Fourth Proportional to 7,858.70, 11,791.30 and 3,182.02

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Solution

The fourth proportional to 7,858.70, 11,791.30 and 3,182.02 is: 4,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.70 : 11,791.30 = 3,182.02 : x
  2. Step 2: Convert to fraction form
    7,858.70/11,791.30 = 3,182.02/x
  3. Step 3: Cross multiply
    7,858.70x = 11,791.30 × 3,182.02
  4. Step 4: Simplify right side
    7,858.70x = 37,520,152.43
  5. Step 5: Solve for x
    x = 37,520,152.43/7,858.70
  6. Step 6: Final answer
    x = 4,774.35

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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.