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Finding the Fourth Proportional to 10,684.94, 16,020.48 and 4,449.26

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Solution

The fourth proportional to 10,684.94, 16,020.48 and 4,449.26 is: 6,671.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.94 : 16,020.48 = 4,449.26 : x
  2. Step 2: Convert to fraction form
    10,684.94/16,020.48 = 4,449.26/x
  3. Step 3: Cross multiply
    10,684.94x = 16,020.48 × 4,449.26
  4. Step 4: Simplify right side
    10,684.94x = 71,279,280.84
  5. Step 5: Solve for x
    x = 71,279,280.84/10,684.94
  6. Step 6: Final answer
    x = 6,671.00

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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.