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Finding the Fourth Proportional to 13,111.10, 18,093.34 and 7,806.10

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Solution

The fourth proportional to 13,111.10, 18,093.34 and 7,806.10 is: 10,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111.10 : 18,093.34 = 7,806.10 : x
  2. Step 2: Convert to fraction form
    13,111.10/18,093.34 = 7,806.10/x
  3. Step 3: Cross multiply
    13,111.10x = 18,093.34 × 7,806.10
  4. Step 4: Simplify right side
    13,111.10x = 141,238,421.37
  5. Step 5: Solve for x
    x = 141,238,421.37/13,111.10
  6. Step 6: Final answer
    x = 10,772.43

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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.