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Finding the Fourth Proportional to 11,647.46, 16,074.78 and 7,170.32

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Solution

The fourth proportional to 11,647.46, 16,074.78 and 7,170.32 is: 9,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.46 : 16,074.78 = 7,170.32 : x
  2. Step 2: Convert to fraction form
    11,647.46/16,074.78 = 7,170.32/x
  3. Step 3: Cross multiply
    11,647.46x = 16,074.78 × 7,170.32
  4. Step 4: Simplify right side
    11,647.46x = 115,261,316.53
  5. Step 5: Solve for x
    x = 115,261,316.53/11,647.46
  6. Step 6: Final answer
    x = 9,895.83

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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.