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Finding the Fourth Proportional to 7,271.70, 10,034.60 and 4,127.82

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Solution

The fourth proportional to 7,271.70, 10,034.60 and 4,127.82 is: 5,696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.70 : 10,034.60 = 4,127.82 : x
  2. Step 2: Convert to fraction form
    7,271.70/10,034.60 = 4,127.82/x
  3. Step 3: Cross multiply
    7,271.70x = 10,034.60 × 4,127.82
  4. Step 4: Simplify right side
    7,271.70x = 41,421,001.93
  5. Step 5: Solve for x
    x = 41,421,001.93/7,271.70
  6. Step 6: Final answer
    x = 5,696.19

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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.