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Finding the Fourth Proportional to 10,576.32, 15,864.78 and 3,180

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Solution

The fourth proportional to 10,576.32, 15,864.78 and 3,180 is: 4,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.32 : 15,864.78 = 3,180 : x
  2. Step 2: Convert to fraction form
    10,576.32/15,864.78 = 3,180/x
  3. Step 3: Cross multiply
    10,576.32x = 15,864.78 × 3,180
  4. Step 4: Simplify right side
    10,576.32x = 50,450,000.40
  5. Step 5: Solve for x
    x = 50,450,000.40/10,576.32
  6. Step 6: Final answer
    x = 4,770.09

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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.