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Finding the Fourth Proportional to 7,270.50, 10,034.10 and 4,127.70

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Solution

The fourth proportional to 7,270.50, 10,034.10 and 4,127.70 is: 5,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.50 : 10,034.10 = 4,127.70 : x
  2. Step 2: Convert to fraction form
    7,270.50/10,034.10 = 4,127.70/x
  3. Step 3: Cross multiply
    7,270.50x = 10,034.10 × 4,127.70
  4. Step 4: Simplify right side
    7,270.50x = 41,417,754.57
  5. Step 5: Solve for x
    x = 41,417,754.57/7,270.50
  6. Step 6: Final answer
    x = 5,696.69

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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.