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Finding the Fourth Proportional to 8,385.30, 12,583.44 and 3,191.22

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Solution

The fourth proportional to 8,385.30, 12,583.44 and 3,191.22 is: 4,788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.30 : 12,583.44 = 3,191.22 : x
  2. Step 2: Convert to fraction form
    8,385.30/12,583.44 = 3,191.22/x
  3. Step 3: Cross multiply
    8,385.30x = 12,583.44 × 3,191.22
  4. Step 4: Simplify right side
    8,385.30x = 40,156,525.40
  5. Step 5: Solve for x
    x = 40,156,525.40/8,385.30
  6. Step 6: Final answer
    x = 4,788.92

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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.