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Finding the Fourth Proportional to 11,683.71, 17,525.57 and 3,475.71

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Solution

The fourth proportional to 11,683.71, 17,525.57 and 3,475.71 is: 5,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.71 : 17,525.57 = 3,475.71 : x
  2. Step 2: Convert to fraction form
    11,683.71/17,525.57 = 3,475.71/x
  3. Step 3: Cross multiply
    11,683.71x = 17,525.57 × 3,475.71
  4. Step 4: Simplify right side
    11,683.71x = 60,913,798.90
  5. Step 5: Solve for x
    x = 60,913,798.90/11,683.71
  6. Step 6: Final answer
    x = 5,213.57

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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.