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Finding the Fourth Proportional to 10,684.54, 16,026.81 and 2,893.35

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Solution

The fourth proportional to 10,684.54, 16,026.81 and 2,893.35 is: 4,340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.54 : 16,026.81 = 2,893.35 : x
  2. Step 2: Convert to fraction form
    10,684.54/16,026.81 = 2,893.35/x
  3. Step 3: Cross multiply
    10,684.54x = 16,026.81 × 2,893.35
  4. Step 4: Simplify right side
    10,684.54x = 46,371,156.25
  5. Step 5: Solve for x
    x = 46,371,156.25/10,684.54
  6. Step 6: Final answer
    x = 4,340.03

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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.