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Finding the Fourth Proportional to 10,684.26, 16,024.49 and 2,893.68

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Solution

The fourth proportional to 10,684.26, 16,024.49 and 2,893.68 is: 4,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.26 : 16,024.49 = 2,893.68 : x
  2. Step 2: Convert to fraction form
    10,684.26/16,024.49 = 2,893.68/x
  3. Step 3: Cross multiply
    10,684.26x = 16,024.49 × 2,893.68
  4. Step 4: Simplify right side
    10,684.26x = 46,369,746.22
  5. Step 5: Solve for x
    x = 46,369,746.22/10,684.26
  6. Step 6: Final answer
    x = 4,340.01

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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.