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Finding the Fourth Proportional to 11,209.60, 16,814.04 and 4,633.84

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Solution

The fourth proportional to 11,209.60, 16,814.04 and 4,633.84 is: 6,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.60 : 16,814.04 = 4,633.84 : x
  2. Step 2: Convert to fraction form
    11,209.60/16,814.04 = 4,633.84/x
  3. Step 3: Cross multiply
    11,209.60x = 16,814.04 × 4,633.84
  4. Step 4: Simplify right side
    11,209.60x = 77,913,571.11
  5. Step 5: Solve for x
    x = 77,913,571.11/11,209.60
  6. Step 6: Final answer
    x = 6,950.61

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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.