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Finding the Fourth Proportional to 11,567.43, 17,361 and 4,552.38

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Solution

The fourth proportional to 11,567.43, 17,361 and 4,552.38 is: 6,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.43 : 17,361 = 4,552.38 : x
  2. Step 2: Convert to fraction form
    11,567.43/17,361 = 4,552.38/x
  3. Step 3: Cross multiply
    11,567.43x = 17,361 × 4,552.38
  4. Step 4: Simplify right side
    11,567.43x = 79,033,869.18
  5. Step 5: Solve for x
    x = 79,033,869.18/11,567.43
  6. Step 6: Final answer
    x = 6,832.45

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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.