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Finding the Fourth Proportional to 8,211.74, 11,332.19 and 4,674.94

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Solution

The fourth proportional to 8,211.74, 11,332.19 and 4,674.94 is: 6,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.74 : 11,332.19 = 4,674.94 : x
  2. Step 2: Convert to fraction form
    8,211.74/11,332.19 = 4,674.94/x
  3. Step 3: Cross multiply
    8,211.74x = 11,332.19 × 4,674.94
  4. Step 4: Simplify right side
    8,211.74x = 52,977,291.68
  5. Step 5: Solve for x
    x = 52,977,291.68/8,211.74
  6. Step 6: Final answer
    x = 6,451.41

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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.