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Finding the Fourth Proportional to 10,686.36, 14,723.04 and 7,453.09

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Solution

The fourth proportional to 10,686.36, 14,723.04 and 7,453.09 is: 10,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.36 : 14,723.04 = 7,453.09 : x
  2. Step 2: Convert to fraction form
    10,686.36/14,723.04 = 7,453.09/x
  3. Step 3: Cross multiply
    10,686.36x = 14,723.04 × 7,453.09
  4. Step 4: Simplify right side
    10,686.36x = 109,732,142.19
  5. Step 5: Solve for x
    x = 109,732,142.19/10,686.36
  6. Step 6: Final answer
    x = 10,268.43

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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.