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Finding the Fourth Proportional to 8,583.30, 12,874.76 and 2,343.20

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Solution

The fourth proportional to 8,583.30, 12,874.76 and 2,343.20 is: 3,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.30 : 12,874.76 = 2,343.20 : x
  2. Step 2: Convert to fraction form
    8,583.30/12,874.76 = 2,343.20/x
  3. Step 3: Cross multiply
    8,583.30x = 12,874.76 × 2,343.20
  4. Step 4: Simplify right side
    8,583.30x = 30,168,137.63
  5. Step 5: Solve for x
    x = 30,168,137.63/8,583.30
  6. Step 6: Final answer
    x = 3,514.75

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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.