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Finding the Fourth Proportional to 10,401.40, 14,352.78 and 5,924.80

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Solution

The fourth proportional to 10,401.40, 14,352.78 and 5,924.80 is: 8,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.40 : 14,352.78 = 5,924.80 : x
  2. Step 2: Convert to fraction form
    10,401.40/14,352.78 = 5,924.80/x
  3. Step 3: Cross multiply
    10,401.40x = 14,352.78 × 5,924.80
  4. Step 4: Simplify right side
    10,401.40x = 85,037,350.94
  5. Step 5: Solve for x
    x = 85,037,350.94/10,401.40
  6. Step 6: Final answer
    x = 8,175.57

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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.