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Finding the Fourth Proportional to 10,806.30, 14,902.78 and 7,408.25

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Solution

The fourth proportional to 10,806.30, 14,902.78 and 7,408.25 is: 10,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.30 : 14,902.78 = 7,408.25 : x
  2. Step 2: Convert to fraction form
    10,806.30/14,902.78 = 7,408.25/x
  3. Step 3: Cross multiply
    10,806.30x = 14,902.78 × 7,408.25
  4. Step 4: Simplify right side
    10,806.30x = 110,403,519.94
  5. Step 5: Solve for x
    x = 110,403,519.94/10,806.30
  6. Step 6: Final answer
    x = 10,216.59

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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.