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Finding the Fourth Proportional to 10,401, 14,354.25 and 5,924.94

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Solution

The fourth proportional to 10,401, 14,354.25 and 5,924.94 is: 8,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401 : 14,354.25 = 5,924.94 : x
  2. Step 2: Convert to fraction form
    10,401/14,354.25 = 5,924.94/x
  3. Step 3: Cross multiply
    10,401x = 14,354.25 × 5,924.94
  4. Step 4: Simplify right side
    10,401x = 85,048,070.00
  5. Step 5: Solve for x
    x = 85,048,070.00/10,401
  6. Step 6: Final answer
    x = 8,176.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.