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Finding the Fourth Proportional to 10,576.80, 15,866.01 and 2,785.50

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Solution

The fourth proportional to 10,576.80, 15,866.01 and 2,785.50 is: 4,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.80 : 15,866.01 = 2,785.50 : x
  2. Step 2: Convert to fraction form
    10,576.80/15,866.01 = 2,785.50/x
  3. Step 3: Cross multiply
    10,576.80x = 15,866.01 × 2,785.50
  4. Step 4: Simplify right side
    10,576.80x = 44,194,770.86
  5. Step 5: Solve for x
    x = 44,194,770.86/10,576.80
  6. Step 6: Final answer
    x = 4,178.46

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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.