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Finding the Fourth Proportional to 11,630.89, 16,056.07 and 7,441.57

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Solution

The fourth proportional to 11,630.89, 16,056.07 and 7,441.57 is: 10,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.89 : 16,056.07 = 7,441.57 : x
  2. Step 2: Convert to fraction form
    11,630.89/16,056.07 = 7,441.57/x
  3. Step 3: Cross multiply
    11,630.89x = 16,056.07 × 7,441.57
  4. Step 4: Simplify right side
    11,630.89x = 119,482,412.15
  5. Step 5: Solve for x
    x = 119,482,412.15/11,630.89
  6. Step 6: Final answer
    x = 10,272.85

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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.