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Finding the Fourth Proportional to 10,919.61, 16,382.66 and 4,676.54

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Solution

The fourth proportional to 10,919.61, 16,382.66 and 4,676.54 is: 7,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.61 : 16,382.66 = 4,676.54 : x
  2. Step 2: Convert to fraction form
    10,919.61/16,382.66 = 4,676.54/x
  3. Step 3: Cross multiply
    10,919.61x = 16,382.66 × 4,676.54
  4. Step 4: Simplify right side
    10,919.61x = 76,614,059.50
  5. Step 5: Solve for x
    x = 76,614,059.50/10,919.61
  6. Step 6: Final answer
    x = 7,016.19

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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.