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Finding the Fourth Proportional to 13,164.68, 18,167.60 and 7,862.55

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Solution

The fourth proportional to 13,164.68, 18,167.60 and 7,862.55 is: 10,850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.68 : 18,167.60 = 7,862.55 : x
  2. Step 2: Convert to fraction form
    13,164.68/18,167.60 = 7,862.55/x
  3. Step 3: Cross multiply
    13,164.68x = 18,167.60 × 7,862.55
  4. Step 4: Simplify right side
    13,164.68x = 142,843,663.38
  5. Step 5: Solve for x
    x = 142,843,663.38/13,164.68
  6. Step 6: Final answer
    x = 10,850.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.