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Finding the Fourth Proportional to 7,524.69, 10,384.26 and 4,167.80

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Solution

The fourth proportional to 7,524.69, 10,384.26 and 4,167.80 is: 5,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.69 : 10,384.26 = 4,167.80 : x
  2. Step 2: Convert to fraction form
    7,524.69/10,384.26 = 4,167.80/x
  3. Step 3: Cross multiply
    7,524.69x = 10,384.26 × 4,167.80
  4. Step 4: Simplify right side
    7,524.69x = 43,279,466.91
  5. Step 5: Solve for x
    x = 43,279,466.91/7,524.69
  6. Step 6: Final answer
    x = 5,751.66

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