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Finding the Fourth Proportional to 10,900.80, 15,042.60 and 6,185.96

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Solution

The fourth proportional to 10,900.80, 15,042.60 and 6,185.96 is: 8,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.80 : 15,042.60 = 6,185.96 : x
  2. Step 2: Convert to fraction form
    10,900.80/15,042.60 = 6,185.96/x
  3. Step 3: Cross multiply
    10,900.80x = 15,042.60 × 6,185.96
  4. Step 4: Simplify right side
    10,900.80x = 93,052,921.90
  5. Step 5: Solve for x
    x = 93,052,921.90/10,900.80
  6. Step 6: Final answer
    x = 8,536.34

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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.