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Finding the Fourth Proportional to 8,583.84, 12,849.84 and 4,879.44

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Solution

The fourth proportional to 8,583.84, 12,849.84 and 4,879.44 is: 7,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.84 : 12,849.84 = 4,879.44 : x
  2. Step 2: Convert to fraction form
    8,583.84/12,849.84 = 4,879.44/x
  3. Step 3: Cross multiply
    8,583.84x = 12,849.84 × 4,879.44
  4. Step 4: Simplify right side
    8,583.84x = 62,700,023.29
  5. Step 5: Solve for x
    x = 62,700,023.29/8,583.84
  6. Step 6: Final answer
    x = 7,304.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.