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Finding the Fourth Proportional to 10,539.82, 14,550.03 and 6,768.61

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Solution

The fourth proportional to 10,539.82, 14,550.03 and 6,768.61 is: 9,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.82 : 14,550.03 = 6,768.61 : x
  2. Step 2: Convert to fraction form
    10,539.82/14,550.03 = 6,768.61/x
  3. Step 3: Cross multiply
    10,539.82x = 14,550.03 × 6,768.61
  4. Step 4: Simplify right side
    10,539.82x = 98,483,524.03
  5. Step 5: Solve for x
    x = 98,483,524.03/10,539.82
  6. Step 6: Final answer
    x = 9,343.95

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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.