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Finding the Fourth Proportional to 10,685.94, 16,032.56 and 5,756.09

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Solution

The fourth proportional to 10,685.94, 16,032.56 and 5,756.09 is: 8,636.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.94 : 16,032.56 = 5,756.09 : x
  2. Step 2: Convert to fraction form
    10,685.94/16,032.56 = 5,756.09/x
  3. Step 3: Cross multiply
    10,685.94x = 16,032.56 × 5,756.09
  4. Step 4: Simplify right side
    10,685.94x = 92,284,749.35
  5. Step 5: Solve for x
    x = 92,284,749.35/10,685.94
  6. Step 6: Final answer
    x = 8,636.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.