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Finding the Fourth Proportional to 10,683.67, 14,743.21 and 5,904

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Solution

The fourth proportional to 10,683.67, 14,743.21 and 5,904 is: 8,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.67 : 14,743.21 = 5,904 : x
  2. Step 2: Convert to fraction form
    10,683.67/14,743.21 = 5,904/x
  3. Step 3: Cross multiply
    10,683.67x = 14,743.21 × 5,904
  4. Step 4: Simplify right side
    10,683.67x = 87,043,911.84
  5. Step 5: Solve for x
    x = 87,043,911.84/10,683.67
  6. Step 6: Final answer
    x = 8,147.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.