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Finding the Fourth Proportional to 7,295.91, 10,926.33 and 4,166.43

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Solution

The fourth proportional to 7,295.91, 10,926.33 and 4,166.43 is: 6,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.91 : 10,926.33 = 4,166.43 : x
  2. Step 2: Convert to fraction form
    7,295.91/10,926.33 = 4,166.43/x
  3. Step 3: Cross multiply
    7,295.91x = 10,926.33 × 4,166.43
  4. Step 4: Simplify right side
    7,295.91x = 45,523,732.50
  5. Step 5: Solve for x
    x = 45,523,732.50/7,295.91
  6. Step 6: Final answer
    x = 6,239.63

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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.