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Finding the Fourth Proportional to 11,205.94, 15,464.06 and 6,170.16

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Solution

The fourth proportional to 11,205.94, 15,464.06 and 6,170.16 is: 8,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.94 : 15,464.06 = 6,170.16 : x
  2. Step 2: Convert to fraction form
    11,205.94/15,464.06 = 6,170.16/x
  3. Step 3: Cross multiply
    11,205.94x = 15,464.06 × 6,170.16
  4. Step 4: Simplify right side
    11,205.94x = 95,415,724.45
  5. Step 5: Solve for x
    x = 95,415,724.45/11,205.94
  6. Step 6: Final answer
    x = 8,514.75

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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.