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Finding the Fourth Proportional to 10,874.45, 16,312.79 and 4,214.43

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Solution

The fourth proportional to 10,874.45, 16,312.79 and 4,214.43 is: 6,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.45 : 16,312.79 = 4,214.43 : x
  2. Step 2: Convert to fraction form
    10,874.45/16,312.79 = 4,214.43/x
  3. Step 3: Cross multiply
    10,874.45x = 16,312.79 × 4,214.43
  4. Step 4: Simplify right side
    10,874.45x = 68,749,122.10
  5. Step 5: Solve for x
    x = 68,749,122.10/10,874.45
  6. Step 6: Final answer
    x = 6,322.08

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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.