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Finding the Fourth Proportional to 10,683.96, 16,009.39 and 8,048.63

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Solution

The fourth proportional to 10,683.96, 16,009.39 and 8,048.63 is: 12,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.96 : 16,009.39 = 8,048.63 : x
  2. Step 2: Convert to fraction form
    10,683.96/16,009.39 = 8,048.63/x
  3. Step 3: Cross multiply
    10,683.96x = 16,009.39 × 8,048.63
  4. Step 4: Simplify right side
    10,683.96x = 128,853,536.35
  5. Step 5: Solve for x
    x = 128,853,536.35/10,683.96
  6. Step 6: Final answer
    x = 12,060.47

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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.