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Finding the Fourth Proportional to 10,136.29, 15,205.89 and 3,116.89

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Solution

The fourth proportional to 10,136.29, 15,205.89 and 3,116.89 is: 4,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.29 : 15,205.89 = 3,116.89 : x
  2. Step 2: Convert to fraction form
    10,136.29/15,205.89 = 3,116.89/x
  3. Step 3: Cross multiply
    10,136.29x = 15,205.89 × 3,116.89
  4. Step 4: Simplify right side
    10,136.29x = 47,395,143.50
  5. Step 5: Solve for x
    x = 47,395,143.50/10,136.29
  6. Step 6: Final answer
    x = 4,675.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.