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Finding the Fourth Proportional to 8,136, 11,227.68 and 4,410

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Solution

The fourth proportional to 8,136, 11,227.68 and 4,410 is: 6,085.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136 : 11,227.68 = 4,410 : x
  2. Step 2: Convert to fraction form
    8,136/11,227.68 = 4,410/x
  3. Step 3: Cross multiply
    8,136x = 11,227.68 × 4,410
  4. Step 4: Simplify right side
    8,136x = 49,514,068.80
  5. Step 5: Solve for x
    x = 49,514,068.80/8,136
  6. Step 6: Final answer
    x = 6,085.80

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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.