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Finding the Fourth Proportional to 8,416.63, 11,614.94 and 4,639.85

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Solution

The fourth proportional to 8,416.63, 11,614.94 and 4,639.85 is: 6,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.63 : 11,614.94 = 4,639.85 : x
  2. Step 2: Convert to fraction form
    8,416.63/11,614.94 = 4,639.85/x
  3. Step 3: Cross multiply
    8,416.63x = 11,614.94 × 4,639.85
  4. Step 4: Simplify right side
    8,416.63x = 53,891,579.36
  5. Step 5: Solve for x
    x = 53,891,579.36/8,416.63
  6. Step 6: Final answer
    x = 6,402.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.