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Finding the Fourth Proportional to 11,283.69, 16,926.75 and 4,706.22

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Solution

The fourth proportional to 11,283.69, 16,926.75 and 4,706.22 is: 7,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.69 : 16,926.75 = 4,706.22 : x
  2. Step 2: Convert to fraction form
    11,283.69/16,926.75 = 4,706.22/x
  3. Step 3: Cross multiply
    11,283.69x = 16,926.75 × 4,706.22
  4. Step 4: Simplify right side
    11,283.69x = 79,661,009.39
  5. Step 5: Solve for x
    x = 79,661,009.39/11,283.69
  6. Step 6: Final answer
    x = 7,059.84

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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.