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Finding the Fourth Proportional to 10,684.64, 16,032.70 and 4,448.96

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Solution

The fourth proportional to 10,684.64, 16,032.70 and 4,448.96 is: 6,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.64 : 16,032.70 = 4,448.96 : x
  2. Step 2: Convert to fraction form
    10,684.64/16,032.70 = 4,448.96/x
  3. Step 3: Cross multiply
    10,684.64x = 16,032.70 × 4,448.96
  4. Step 4: Simplify right side
    10,684.64x = 71,328,840.99
  5. Step 5: Solve for x
    x = 71,328,840.99/10,684.64
  6. Step 6: Final answer
    x = 6,675.83

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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.