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Finding the Fourth Proportional to 11,861, 16,375.02 and 9,071.72

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Solution

The fourth proportional to 11,861, 16,375.02 and 9,071.72 is: 12,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861 : 16,375.02 = 9,071.72 : x
  2. Step 2: Convert to fraction form
    11,861/16,375.02 = 9,071.72/x
  3. Step 3: Cross multiply
    11,861x = 16,375.02 × 9,071.72
  4. Step 4: Simplify right side
    11,861x = 148,549,596.43
  5. Step 5: Solve for x
    x = 148,549,596.43/11,861
  6. Step 6: Final answer
    x = 12,524.21

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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.