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Finding the Fourth Proportional to 10,874.24, 16,307.94 and 4,634.12

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Solution

The fourth proportional to 10,874.24, 16,307.94 and 4,634.12 is: 6,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.24 : 16,307.94 = 4,634.12 : x
  2. Step 2: Convert to fraction form
    10,874.24/16,307.94 = 4,634.12/x
  3. Step 3: Cross multiply
    10,874.24x = 16,307.94 × 4,634.12
  4. Step 4: Simplify right side
    10,874.24x = 75,572,950.91
  5. Step 5: Solve for x
    x = 75,572,950.91/10,874.24
  6. Step 6: Final answer
    x = 6,949.72

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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.