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Finding the Fourth Proportional to 10,711.72, 16,064.34 and 6,328

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Solution

The fourth proportional to 10,711.72, 16,064.34 and 6,328 is: 9,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.72 : 16,064.34 = 6,328 : x
  2. Step 2: Convert to fraction form
    10,711.72/16,064.34 = 6,328/x
  3. Step 3: Cross multiply
    10,711.72x = 16,064.34 × 6,328
  4. Step 4: Simplify right side
    10,711.72x = 101,655,143.52
  5. Step 5: Solve for x
    x = 101,655,143.52/10,711.72
  6. Step 6: Final answer
    x = 9,490.09

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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.