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Finding the Fourth Proportional to 8,583.72, 12,878.82 and 3,393.24

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Solution

The fourth proportional to 8,583.72, 12,878.82 and 3,393.24 is: 5,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.72 : 12,878.82 = 3,393.24 : x
  2. Step 2: Convert to fraction form
    8,583.72/12,878.82 = 3,393.24/x
  3. Step 3: Cross multiply
    8,583.72x = 12,878.82 × 3,393.24
  4. Step 4: Simplify right side
    8,583.72x = 43,700,927.18
  5. Step 5: Solve for x
    x = 43,700,927.18/8,583.72
  6. Step 6: Final answer
    x = 5,091.14

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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.