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Finding the Fourth Proportional to 7,847.88, 11,776.68 and 5,762.76

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Solution

The fourth proportional to 7,847.88, 11,776.68 and 5,762.76 is: 8,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.88 : 11,776.68 = 5,762.76 : x
  2. Step 2: Convert to fraction form
    7,847.88/11,776.68 = 5,762.76/x
  3. Step 3: Cross multiply
    7,847.88x = 11,776.68 × 5,762.76
  4. Step 4: Simplify right side
    7,847.88x = 67,866,180.44
  5. Step 5: Solve for x
    x = 67,866,180.44/7,847.88
  6. Step 6: Final answer
    x = 8,647.71

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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.