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Finding the Fourth Proportional to 10,205.37, 15,301.10 and 5,195.43

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Solution

The fourth proportional to 10,205.37, 15,301.10 and 5,195.43 is: 7,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.37 : 15,301.10 = 5,195.43 : x
  2. Step 2: Convert to fraction form
    10,205.37/15,301.10 = 5,195.43/x
  3. Step 3: Cross multiply
    10,205.37x = 15,301.10 × 5,195.43
  4. Step 4: Simplify right side
    10,205.37x = 79,495,768.00
  5. Step 5: Solve for x
    x = 79,495,768.00/10,205.37
  6. Step 6: Final answer
    x = 7,789.60

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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.