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Finding the Fourth Proportional to 11,444.05, 15,790.95 and 6,408.48

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Solution

The fourth proportional to 11,444.05, 15,790.95 and 6,408.48 is: 8,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.05 : 15,790.95 = 6,408.48 : x
  2. Step 2: Convert to fraction form
    11,444.05/15,790.95 = 6,408.48/x
  3. Step 3: Cross multiply
    11,444.05x = 15,790.95 × 6,408.48
  4. Step 4: Simplify right side
    11,444.05x = 101,196,046.47
  5. Step 5: Solve for x
    x = 101,196,046.47/11,444.05
  6. Step 6: Final answer
    x = 8,842.68

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