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Finding the Fourth Proportional to 11,745, 17,617.50 and 3,953.81

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Solution

The fourth proportional to 11,745, 17,617.50 and 3,953.81 is: 5,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745 : 17,617.50 = 3,953.81 : x
  2. Step 2: Convert to fraction form
    11,745/17,617.50 = 3,953.81/x
  3. Step 3: Cross multiply
    11,745x = 17,617.50 × 3,953.81
  4. Step 4: Simplify right side
    11,745x = 69,656,291.72
  5. Step 5: Solve for x
    x = 69,656,291.72/11,745
  6. Step 6: Final answer
    x = 5,930.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.