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Finding the Fourth Proportional to 8,576, 11,835 and 5,264

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Solution

The fourth proportional to 8,576, 11,835 and 5,264 is: 7,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576 : 11,835 = 5,264 : x
  2. Step 2: Convert to fraction form
    8,576/11,835 = 5,264/x
  3. Step 3: Cross multiply
    8,576x = 11,835 × 5,264
  4. Step 4: Simplify right side
    8,576x = 62,299,440
  5. Step 5: Solve for x
    x = 62,299,440/8,576
  6. Step 6: Final answer
    x = 7,264.39

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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.