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Finding the Fourth Proportional to 13,111.16, 18,093.78 and 7,143.08

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Solution

The fourth proportional to 13,111.16, 18,093.78 and 7,143.08 is: 9,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111.16 : 18,093.78 = 7,143.08 : x
  2. Step 2: Convert to fraction form
    13,111.16/18,093.78 = 7,143.08/x
  3. Step 3: Cross multiply
    13,111.16x = 18,093.78 × 7,143.08
  4. Step 4: Simplify right side
    13,111.16x = 129,245,227.57
  5. Step 5: Solve for x
    x = 129,245,227.57/13,111.16
  6. Step 6: Final answer
    x = 9,857.65

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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.