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Finding the Fourth Proportional to 11,648.41, 16,074.86 and 6,612.64

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Solution

The fourth proportional to 11,648.41, 16,074.86 and 6,612.64 is: 9,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.41 : 16,074.86 = 6,612.64 : x
  2. Step 2: Convert to fraction form
    11,648.41/16,074.86 = 6,612.64/x
  3. Step 3: Cross multiply
    11,648.41x = 16,074.86 × 6,612.64
  4. Step 4: Simplify right side
    11,648.41x = 106,297,188.98
  5. Step 5: Solve for x
    x = 106,297,188.98/11,648.41
  6. Step 6: Final answer
    x = 9,125.47

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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.