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Finding the Fourth Proportional to 10,722.72, 16,080.84 and 6,339

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Solution

The fourth proportional to 10,722.72, 16,080.84 and 6,339 is: 9,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.72 : 16,080.84 = 6,339 : x
  2. Step 2: Convert to fraction form
    10,722.72/16,080.84 = 6,339/x
  3. Step 3: Cross multiply
    10,722.72x = 16,080.84 × 6,339
  4. Step 4: Simplify right side
    10,722.72x = 101,936,444.76
  5. Step 5: Solve for x
    x = 101,936,444.76/10,722.72
  6. Step 6: Final answer
    x = 9,506.58

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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.