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Finding the Fourth Proportional to 8,384.72, 11,570.85 and 4,847.85

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Solution

The fourth proportional to 8,384.72, 11,570.85 and 4,847.85 is: 6,690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.72 : 11,570.85 = 4,847.85 : x
  2. Step 2: Convert to fraction form
    8,384.72/11,570.85 = 4,847.85/x
  3. Step 3: Cross multiply
    8,384.72x = 11,570.85 × 4,847.85
  4. Step 4: Simplify right side
    8,384.72x = 56,093,745.17
  5. Step 5: Solve for x
    x = 56,093,745.17/8,384.72
  6. Step 6: Final answer
    x = 6,690.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.