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Finding the Fourth Proportional to 13,097.25, 18,072.38 and 8,062.29

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Solution

The fourth proportional to 13,097.25, 18,072.38 and 8,062.29 is: 11,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.25 : 18,072.38 = 8,062.29 : x
  2. Step 2: Convert to fraction form
    13,097.25/18,072.38 = 8,062.29/x
  3. Step 3: Cross multiply
    13,097.25x = 18,072.38 × 8,062.29
  4. Step 4: Simplify right side
    13,097.25x = 145,704,788.71
  5. Step 5: Solve for x
    x = 145,704,788.71/13,097.25
  6. Step 6: Final answer
    x = 11,124.84

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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.