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Finding the Fourth Proportional to 11,695.68, 17,538.48 and 4,674.48

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Solution

The fourth proportional to 11,695.68, 17,538.48 and 4,674.48 is: 7,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.68 : 17,538.48 = 4,674.48 : x
  2. Step 2: Convert to fraction form
    11,695.68/17,538.48 = 4,674.48/x
  3. Step 3: Cross multiply
    11,695.68x = 17,538.48 × 4,674.48
  4. Step 4: Simplify right side
    11,695.68x = 81,983,273.99
  5. Step 5: Solve for x
    x = 81,983,273.99/11,695.68
  6. Step 6: Final answer
    x = 7,009.71

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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.