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Finding the Fourth Proportional to 7,090.64, 10,635.95 and 1,896.38

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Solution

The fourth proportional to 7,090.64, 10,635.95 and 1,896.38 is: 2,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.64 : 10,635.95 = 1,896.38 : x
  2. Step 2: Convert to fraction form
    7,090.64/10,635.95 = 1,896.38/x
  3. Step 3: Cross multiply
    7,090.64x = 10,635.95 × 1,896.38
  4. Step 4: Simplify right side
    7,090.64x = 20,169,754.42
  5. Step 5: Solve for x
    x = 20,169,754.42/7,090.64
  6. Step 6: Final answer
    x = 2,844.56

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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.