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Finding the Fourth Proportional to 10,162.74, 15,205.99 and 8,408.58

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Solution

The fourth proportional to 10,162.74, 15,205.99 and 8,408.58 is: 12,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.74 : 15,205.99 = 8,408.58 : x
  2. Step 2: Convert to fraction form
    10,162.74/15,205.99 = 8,408.58/x
  3. Step 3: Cross multiply
    10,162.74x = 15,205.99 × 8,408.58
  4. Step 4: Simplify right side
    10,162.74x = 127,860,783.39
  5. Step 5: Solve for x
    x = 127,860,783.39/10,162.74
  6. Step 6: Final answer
    x = 12,581.33

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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.