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Finding the Fourth Proportional to 7,476.69, 11,204.46 and 4,146.41

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Solution

The fourth proportional to 7,476.69, 11,204.46 and 4,146.41 is: 6,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.69 : 11,204.46 = 4,146.41 : x
  2. Step 2: Convert to fraction form
    7,476.69/11,204.46 = 4,146.41/x
  3. Step 3: Cross multiply
    7,476.69x = 11,204.46 × 4,146.41
  4. Step 4: Simplify right side
    7,476.69x = 46,458,208.23
  5. Step 5: Solve for x
    x = 46,458,208.23/7,476.69
  6. Step 6: Final answer
    x = 6,213.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.