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Finding the Fourth Proportional to 11,533.86, 17,298.90 and 4,136.94

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Solution

The fourth proportional to 11,533.86, 17,298.90 and 4,136.94 is: 6,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.86 : 17,298.90 = 4,136.94 : x
  2. Step 2: Convert to fraction form
    11,533.86/17,298.90 = 4,136.94/x
  3. Step 3: Cross multiply
    11,533.86x = 17,298.90 × 4,136.94
  4. Step 4: Simplify right side
    11,533.86x = 71,564,511.37
  5. Step 5: Solve for x
    x = 71,564,511.37/11,533.86
  6. Step 6: Final answer
    x = 6,204.73

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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.