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Finding the Fourth Proportional to 10,675.05, 14,738.42 and 6,903.99

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Solution

The fourth proportional to 10,675.05, 14,738.42 and 6,903.99 is: 9,531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.05 : 14,738.42 = 6,903.99 : x
  2. Step 2: Convert to fraction form
    10,675.05/14,738.42 = 6,903.99/x
  3. Step 3: Cross multiply
    10,675.05x = 14,738.42 × 6,903.99
  4. Step 4: Simplify right side
    10,675.05x = 101,753,921.56
  5. Step 5: Solve for x
    x = 101,753,921.56/10,675.05
  6. Step 6: Final answer
    x = 9,531.94

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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.