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Finding the Fourth Proportional to 7,090.47, 10,635.70 and 1,896.21

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Solution

The fourth proportional to 7,090.47, 10,635.70 and 1,896.21 is: 2,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.47 : 10,635.70 = 1,896.21 : x
  2. Step 2: Convert to fraction form
    7,090.47/10,635.70 = 1,896.21/x
  3. Step 3: Cross multiply
    7,090.47x = 10,635.70 × 1,896.21
  4. Step 4: Simplify right side
    7,090.47x = 20,167,458.04
  5. Step 5: Solve for x
    x = 20,167,458.04/7,090.47
  6. Step 6: Final answer
    x = 2,844.31

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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.