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Finding the Fourth Proportional to 13,460.83, 18,573.82 and 7,796.12

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Solution

The fourth proportional to 13,460.83, 18,573.82 and 7,796.12 is: 10,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.83 : 18,573.82 = 7,796.12 : x
  2. Step 2: Convert to fraction form
    13,460.83/18,573.82 = 7,796.12/x
  3. Step 3: Cross multiply
    13,460.83x = 18,573.82 × 7,796.12
  4. Step 4: Simplify right side
    13,460.83x = 144,803,661.07
  5. Step 5: Solve for x
    x = 144,803,661.07/13,460.83
  6. Step 6: Final answer
    x = 10,757.41

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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.