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Finding the Fourth Proportional to 8,122.75, 11,208.76 and 4,586.31

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Solution

The fourth proportional to 8,122.75, 11,208.76 and 4,586.31 is: 6,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.75 : 11,208.76 = 4,586.31 : x
  2. Step 2: Convert to fraction form
    8,122.75/11,208.76 = 4,586.31/x
  3. Step 3: Cross multiply
    8,122.75x = 11,208.76 × 4,586.31
  4. Step 4: Simplify right side
    8,122.75x = 51,406,848.08
  5. Step 5: Solve for x
    x = 51,406,848.08/8,122.75
  6. Step 6: Final answer
    x = 6,328.75

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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.