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Finding the Fourth Proportional to 10,634.12, 14,675.44 and 6,097.56

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Solution

The fourth proportional to 10,634.12, 14,675.44 and 6,097.56 is: 8,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.12 : 14,675.44 = 6,097.56 : x
  2. Step 2: Convert to fraction form
    10,634.12/14,675.44 = 6,097.56/x
  3. Step 3: Cross multiply
    10,634.12x = 14,675.44 × 6,097.56
  4. Step 4: Simplify right side
    10,634.12x = 89,484,375.93
  5. Step 5: Solve for x
    x = 89,484,375.93/10,634.12
  6. Step 6: Final answer
    x = 8,414.84

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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.