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Finding the Fourth Proportional to 10,686.33, 16,029.50 and 2,894.94

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Solution

The fourth proportional to 10,686.33, 16,029.50 and 2,894.94 is: 4,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.33 : 16,029.50 = 2,894.94 : x
  2. Step 2: Convert to fraction form
    10,686.33/16,029.50 = 2,894.94/x
  3. Step 3: Cross multiply
    10,686.33x = 16,029.50 × 2,894.94
  4. Step 4: Simplify right side
    10,686.33x = 46,404,426.26
  5. Step 5: Solve for x
    x = 46,404,426.26/10,686.33
  6. Step 6: Final answer
    x = 4,342.41

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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.