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Finding the Fourth Proportional to 11,648.22, 16,073.71 and 6,612.54

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Solution

The fourth proportional to 11,648.22, 16,073.71 and 6,612.54 is: 9,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.22 : 16,073.71 = 6,612.54 : x
  2. Step 2: Convert to fraction form
    11,648.22/16,073.71 = 6,612.54/x
  3. Step 3: Cross multiply
    11,648.22x = 16,073.71 × 6,612.54
  4. Step 4: Simplify right side
    11,648.22x = 106,288,050.32
  5. Step 5: Solve for x
    x = 106,288,050.32/11,648.22
  6. Step 6: Final answer
    x = 9,124.83

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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.