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Finding the Fourth Proportional to 4,711.14, 7,097.27 and 4,481.91

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Solution

The fourth proportional to 4,711.14, 7,097.27 and 4,481.91 is: 6,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.14 : 7,097.27 = 4,481.91 : x
  2. Step 2: Convert to fraction form
    4,711.14/7,097.27 = 4,481.91/x
  3. Step 3: Cross multiply
    4,711.14x = 7,097.27 × 4,481.91
  4. Step 4: Simplify right side
    4,711.14x = 31,809,302.98
  5. Step 5: Solve for x
    x = 31,809,302.98/4,711.14
  6. Step 6: Final answer
    x = 6,751.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.