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Finding the Fourth Proportional to 5,586.69, 8,373.57 and 4,112.17

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Solution

The fourth proportional to 5,586.69, 8,373.57 and 4,112.17 is: 6,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.69 : 8,373.57 = 4,112.17 : x
  2. Step 2: Convert to fraction form
    5,586.69/8,373.57 = 4,112.17/x
  3. Step 3: Cross multiply
    5,586.69x = 8,373.57 × 4,112.17
  4. Step 4: Simplify right side
    5,586.69x = 34,433,543.35
  5. Step 5: Solve for x
    x = 34,433,543.35/5,586.69
  6. Step 6: Final answer
    x = 6,163.50

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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.