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Finding the Fourth Proportional to 10,914.66, 16,376.91 and 4,676.31

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Solution

The fourth proportional to 10,914.66, 16,376.91 and 4,676.31 is: 7,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.66 : 16,376.91 = 4,676.31 : x
  2. Step 2: Convert to fraction form
    10,914.66/16,376.91 = 4,676.31/x
  3. Step 3: Cross multiply
    10,914.66x = 16,376.91 × 4,676.31
  4. Step 4: Simplify right side
    10,914.66x = 76,583,508.00
  5. Step 5: Solve for x
    x = 76,583,508.00/10,914.66
  6. Step 6: Final answer
    x = 7,016.57

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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.