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Finding the Fourth Proportional to 8,442.12, 11,649.90 and 4,716.12

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Solution

The fourth proportional to 8,442.12, 11,649.90 and 4,716.12 is: 6,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.12 : 11,649.90 = 4,716.12 : x
  2. Step 2: Convert to fraction form
    8,442.12/11,649.90 = 4,716.12/x
  3. Step 3: Cross multiply
    8,442.12x = 11,649.90 × 4,716.12
  4. Step 4: Simplify right side
    8,442.12x = 54,942,326.39
  5. Step 5: Solve for x
    x = 54,942,326.39/8,442.12
  6. Step 6: Final answer
    x = 6,508.12

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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.