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Finding the Fourth Proportional to 8,576, 11,826.76 and 5,594.12

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Solution

The fourth proportional to 8,576, 11,826.76 and 5,594.12 is: 7,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576 : 11,826.76 = 5,594.12 : x
  2. Step 2: Convert to fraction form
    8,576/11,826.76 = 5,594.12/x
  3. Step 3: Cross multiply
    8,576x = 11,826.76 × 5,594.12
  4. Step 4: Simplify right side
    8,576x = 66,160,314.65
  5. Step 5: Solve for x
    x = 66,160,314.65/8,576
  6. Step 6: Final answer
    x = 7,714.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.