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Finding the Fourth Proportional to 10,576.62, 15,865.05 and 4,335.03

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Solution

The fourth proportional to 10,576.62, 15,865.05 and 4,335.03 is: 6,502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.62 : 15,865.05 = 4,335.03 : x
  2. Step 2: Convert to fraction form
    10,576.62/15,865.05 = 4,335.03/x
  3. Step 3: Cross multiply
    10,576.62x = 15,865.05 × 4,335.03
  4. Step 4: Simplify right side
    10,576.62x = 68,775,467.70
  5. Step 5: Solve for x
    x = 68,775,467.70/10,576.62
  6. Step 6: Final answer
    x = 6,502.59

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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.