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Finding the Fourth Proportional to 10,791.80, 16,178.10 and 9,625.40

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Solution

The fourth proportional to 10,791.80, 16,178.10 and 9,625.40 is: 14,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.80 : 16,178.10 = 9,625.40 : x
  2. Step 2: Convert to fraction form
    10,791.80/16,178.10 = 9,625.40/x
  3. Step 3: Cross multiply
    10,791.80x = 16,178.10 × 9,625.40
  4. Step 4: Simplify right side
    10,791.80x = 155,720,683.74
  5. Step 5: Solve for x
    x = 155,720,683.74/10,791.80
  6. Step 6: Final answer
    x = 14,429.54

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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.