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Finding the Fourth Proportional to 8,416.19, 11,602.22 and 5,890.47

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Solution

The fourth proportional to 8,416.19, 11,602.22 and 5,890.47 is: 8,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.19 : 11,602.22 = 5,890.47 : x
  2. Step 2: Convert to fraction form
    8,416.19/11,602.22 = 5,890.47/x
  3. Step 3: Cross multiply
    8,416.19x = 11,602.22 × 5,890.47
  4. Step 4: Simplify right side
    8,416.19x = 68,342,499.39
  5. Step 5: Solve for x
    x = 68,342,499.39/8,416.19
  6. Step 6: Final answer
    x = 8,120.37

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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.