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Finding the Fourth Proportional to 12,511.43, 17,263.85 and 7,134.31

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Solution

The fourth proportional to 12,511.43, 17,263.85 and 7,134.31 is: 9,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.43 : 17,263.85 = 7,134.31 : x
  2. Step 2: Convert to fraction form
    12,511.43/17,263.85 = 7,134.31/x
  3. Step 3: Cross multiply
    12,511.43x = 17,263.85 × 7,134.31
  4. Step 4: Simplify right side
    12,511.43x = 123,165,571.37
  5. Step 5: Solve for x
    x = 123,165,571.37/12,511.43
  6. Step 6: Final answer
    x = 9,844.25

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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.