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Finding the Fourth Proportional to 11,104, 15,323.52 and 6,136

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Solution

The fourth proportional to 11,104, 15,323.52 and 6,136 is: 8,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,104 : 15,323.52 = 6,136 : x
  2. Step 2: Convert to fraction form
    11,104/15,323.52 = 6,136/x
  3. Step 3: Cross multiply
    11,104x = 15,323.52 × 6,136
  4. Step 4: Simplify right side
    11,104x = 94,025,118.72
  5. Step 5: Solve for x
    x = 94,025,118.72/11,104
  6. Step 6: Final answer
    x = 8,467.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.