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Finding the Fourth Proportional to 8,596.30, 12,893.62 and 2,356.06

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Solution

The fourth proportional to 8,596.30, 12,893.62 and 2,356.06 is: 3,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.30 : 12,893.62 = 2,356.06 : x
  2. Step 2: Convert to fraction form
    8,596.30/12,893.62 = 2,356.06/x
  3. Step 3: Cross multiply
    8,596.30x = 12,893.62 × 2,356.06
  4. Step 4: Simplify right side
    8,596.30x = 30,378,142.34
  5. Step 5: Solve for x
    x = 30,378,142.34/8,596.30
  6. Step 6: Final answer
    x = 3,533.86

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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.