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Finding the Fourth Proportional to 10,874.37, 16,317.71 and 4,633.72

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Solution

The fourth proportional to 10,874.37, 16,317.71 and 4,633.72 is: 6,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.37 : 16,317.71 = 4,633.72 : x
  2. Step 2: Convert to fraction form
    10,874.37/16,317.71 = 4,633.72/x
  3. Step 3: Cross multiply
    10,874.37x = 16,317.71 × 4,633.72
  4. Step 4: Simplify right side
    10,874.37x = 75,611,676.01
  5. Step 5: Solve for x
    x = 75,611,676.01/10,874.37
  6. Step 6: Final answer
    x = 6,953.20

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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.