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Finding the Fourth Proportional to 11,685.09, 17,527.64 and 6,211.81

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Solution

The fourth proportional to 11,685.09, 17,527.64 and 6,211.81 is: 9,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.09 : 17,527.64 = 6,211.81 : x
  2. Step 2: Convert to fraction form
    11,685.09/17,527.64 = 6,211.81/x
  3. Step 3: Cross multiply
    11,685.09x = 17,527.64 × 6,211.81
  4. Step 4: Simplify right side
    11,685.09x = 108,878,338.37
  5. Step 5: Solve for x
    x = 108,878,338.37/11,685.09
  6. Step 6: Final answer
    x = 9,317.72

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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.