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Finding the Fourth Proportional to 11,683.35, 17,527.50 and 3,786.30

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Solution

The fourth proportional to 11,683.35, 17,527.50 and 3,786.30 is: 5,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.35 : 17,527.50 = 3,786.30 : x
  2. Step 2: Convert to fraction form
    11,683.35/17,527.50 = 3,786.30/x
  3. Step 3: Cross multiply
    11,683.35x = 17,527.50 × 3,786.30
  4. Step 4: Simplify right side
    11,683.35x = 66,364,373.25
  5. Step 5: Solve for x
    x = 66,364,373.25/11,683.35
  6. Step 6: Final answer
    x = 5,680.25

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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.