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Finding the Fourth Proportional to 11,502.94, 17,276.29 and 7,150.81

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Solution

The fourth proportional to 11,502.94, 17,276.29 and 7,150.81 is: 10,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.94 : 17,276.29 = 7,150.81 : x
  2. Step 2: Convert to fraction form
    11,502.94/17,276.29 = 7,150.81/x
  3. Step 3: Cross multiply
    11,502.94x = 17,276.29 × 7,150.81
  4. Step 4: Simplify right side
    11,502.94x = 123,539,474.73
  5. Step 5: Solve for x
    x = 123,539,474.73/11,502.94
  6. Step 6: Final answer
    x = 10,739.82

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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.