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Finding the Fourth Proportional to 13,098.34, 18,076.53 and 7,793.38

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Solution

The fourth proportional to 13,098.34, 18,076.53 and 7,793.38 is: 10,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.34 : 18,076.53 = 7,793.38 : x
  2. Step 2: Convert to fraction form
    13,098.34/18,076.53 = 7,793.38/x
  3. Step 3: Cross multiply
    13,098.34x = 18,076.53 × 7,793.38
  4. Step 4: Simplify right side
    13,098.34x = 140,877,267.37
  5. Step 5: Solve for x
    x = 140,877,267.37/13,098.34
  6. Step 6: Final answer
    x = 10,755.35

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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.