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Finding the Fourth Proportional to 13,106.39, 18,087.02 and 7,138.05

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Solution

The fourth proportional to 13,106.39, 18,087.02 and 7,138.05 is: 9,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.39 : 18,087.02 = 7,138.05 : x
  2. Step 2: Convert to fraction form
    13,106.39/18,087.02 = 7,138.05/x
  3. Step 3: Cross multiply
    13,106.39x = 18,087.02 × 7,138.05
  4. Step 4: Simplify right side
    13,106.39x = 129,106,053.11
  5. Step 5: Solve for x
    x = 129,106,053.11/13,106.39
  6. Step 6: Final answer
    x = 9,850.62

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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.