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Finding the Fourth Proportional to 11,683.66, 17,525.74 and 4,187.71

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Solution

The fourth proportional to 11,683.66, 17,525.74 and 4,187.71 is: 6,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.66 : 17,525.74 = 4,187.71 : x
  2. Step 2: Convert to fraction form
    11,683.66/17,525.74 = 4,187.71/x
  3. Step 3: Cross multiply
    11,683.66x = 17,525.74 × 4,187.71
  4. Step 4: Simplify right side
    11,683.66x = 73,392,716.66
  5. Step 5: Solve for x
    x = 73,392,716.66/11,683.66
  6. Step 6: Final answer
    x = 6,281.65

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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.