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Finding the Fourth Proportional to 10,753.54, 16,136.54 and 4,513

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Solution

The fourth proportional to 10,753.54, 16,136.54 and 4,513 is: 6,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.54 : 16,136.54 = 4,513 : x
  2. Step 2: Convert to fraction form
    10,753.54/16,136.54 = 4,513/x
  3. Step 3: Cross multiply
    10,753.54x = 16,136.54 × 4,513
  4. Step 4: Simplify right side
    10,753.54x = 72,824,205.02
  5. Step 5: Solve for x
    x = 72,824,205.02/10,753.54
  6. Step 6: Final answer
    x = 6,772.11

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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.