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Finding the Fourth Proportional to 13,037.79, 17,989.38 and 7,734.33

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Solution

The fourth proportional to 13,037.79, 17,989.38 and 7,734.33 is: 10,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.79 : 17,989.38 = 7,734.33 : x
  2. Step 2: Convert to fraction form
    13,037.79/17,989.38 = 7,734.33/x
  3. Step 3: Cross multiply
    13,037.79x = 17,989.38 × 7,734.33
  4. Step 4: Simplify right side
    13,037.79x = 139,135,801.42
  5. Step 5: Solve for x
    x = 139,135,801.42/13,037.79
  6. Step 6: Final answer
    x = 10,671.73

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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.