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Finding the Fourth Proportional to 10,971.62, 16,457.79 and 3,180.50

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Solution

The fourth proportional to 10,971.62, 16,457.79 and 3,180.50 is: 4,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.62 : 16,457.79 = 3,180.50 : x
  2. Step 2: Convert to fraction form
    10,971.62/16,457.79 = 3,180.50/x
  3. Step 3: Cross multiply
    10,971.62x = 16,457.79 × 3,180.50
  4. Step 4: Simplify right side
    10,971.62x = 52,344,001.10
  5. Step 5: Solve for x
    x = 52,344,001.10/10,971.62
  6. Step 6: Final answer
    x = 4,770.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.