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Finding the Fourth Proportional to 8,136.72, 11,235.48 and 5,492.88

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Solution

The fourth proportional to 8,136.72, 11,235.48 and 5,492.88 is: 7,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.72 : 11,235.48 = 5,492.88 : x
  2. Step 2: Convert to fraction form
    8,136.72/11,235.48 = 5,492.88/x
  3. Step 3: Cross multiply
    8,136.72x = 11,235.48 × 5,492.88
  4. Step 4: Simplify right side
    8,136.72x = 61,715,143.38
  5. Step 5: Solve for x
    x = 61,715,143.38/8,136.72
  6. Step 6: Final answer
    x = 7,584.77

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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.