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Finding the Fourth Proportional to 8,596.73, 12,897.83 and 3,916.55

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Solution

The fourth proportional to 8,596.73, 12,897.83 and 3,916.55 is: 5,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.73 : 12,897.83 = 3,916.55 : x
  2. Step 2: Convert to fraction form
    8,596.73/12,897.83 = 3,916.55/x
  3. Step 3: Cross multiply
    8,596.73x = 12,897.83 × 3,916.55
  4. Step 4: Simplify right side
    8,596.73x = 50,515,038.12
  5. Step 5: Solve for x
    x = 50,515,038.12/8,596.73
  6. Step 6: Final answer
    x = 5,876.07

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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.