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Finding the Fourth Proportional to 7,830.67, 11,745.98 and 1,987.27

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Solution

The fourth proportional to 7,830.67, 11,745.98 and 1,987.27 is: 2,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.67 : 11,745.98 = 1,987.27 : x
  2. Step 2: Convert to fraction form
    7,830.67/11,745.98 = 1,987.27/x
  3. Step 3: Cross multiply
    7,830.67x = 11,745.98 × 1,987.27
  4. Step 4: Simplify right side
    7,830.67x = 23,342,433.67
  5. Step 5: Solve for x
    x = 23,342,433.67/7,830.67
  6. Step 6: Final answer
    x = 2,980.90

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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.