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Finding the Fourth Proportional to 11,722.68, 16,179.21 and 7,009.74

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Solution

The fourth proportional to 11,722.68, 16,179.21 and 7,009.74 is: 9,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.68 : 16,179.21 = 7,009.74 : x
  2. Step 2: Convert to fraction form
    11,722.68/16,179.21 = 7,009.74/x
  3. Step 3: Cross multiply
    11,722.68x = 16,179.21 × 7,009.74
  4. Step 4: Simplify right side
    11,722.68x = 113,412,055.51
  5. Step 5: Solve for x
    x = 113,412,055.51/11,722.68
  6. Step 6: Final answer
    x = 9,674.58

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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.