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Finding the Fourth Proportional to 8,214.75, 11,336.36 and 5,072.76

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Solution

The fourth proportional to 8,214.75, 11,336.36 and 5,072.76 is: 7,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.75 : 11,336.36 = 5,072.76 : x
  2. Step 2: Convert to fraction form
    8,214.75/11,336.36 = 5,072.76/x
  3. Step 3: Cross multiply
    8,214.75x = 11,336.36 × 5,072.76
  4. Step 4: Simplify right side
    8,214.75x = 57,506,608.19
  5. Step 5: Solve for x
    x = 57,506,608.19/8,214.75
  6. Step 6: Final answer
    x = 7,000.41

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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.