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Finding the Fourth Proportional to 10,685.36, 14,757.84 and 10,539.68

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Solution

The fourth proportional to 10,685.36, 14,757.84 and 10,539.68 is: 14,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.36 : 14,757.84 = 10,539.68 : x
  2. Step 2: Convert to fraction form
    10,685.36/14,757.84 = 10,539.68/x
  3. Step 3: Cross multiply
    10,685.36x = 14,757.84 × 10,539.68
  4. Step 4: Simplify right side
    10,685.36x = 155,542,911.09
  5. Step 5: Solve for x
    x = 155,542,911.09/10,685.36
  6. Step 6: Final answer
    x = 14,556.64

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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.