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Finding the Fourth Proportional to 13,109.10, 18,090.57 and 7,804.09

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Solution

The fourth proportional to 13,109.10, 18,090.57 and 7,804.09 is: 10,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.10 : 18,090.57 = 7,804.09 : x
  2. Step 2: Convert to fraction form
    13,109.10/18,090.57 = 7,804.09/x
  3. Step 3: Cross multiply
    13,109.10x = 18,090.57 × 7,804.09
  4. Step 4: Simplify right side
    13,109.10x = 141,180,436.43
  5. Step 5: Solve for x
    x = 141,180,436.43/13,109.10
  6. Step 6: Final answer
    x = 10,769.65

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