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Finding the Fourth Proportional to 10,684.34, 16,026.56 and 2,893.16

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Solution

The fourth proportional to 10,684.34, 16,026.56 and 2,893.16 is: 4,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.34 : 16,026.56 = 2,893.16 : x
  2. Step 2: Convert to fraction form
    10,684.34/16,026.56 = 2,893.16/x
  3. Step 3: Cross multiply
    10,684.34x = 16,026.56 × 2,893.16
  4. Step 4: Simplify right side
    10,684.34x = 46,367,402.33
  5. Step 5: Solve for x
    x = 46,367,402.33/10,684.34
  6. Step 6: Final answer
    x = 4,339.75

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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.