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Finding the Fourth Proportional to 10,401.17, 14,353.71 and 5,924.86

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Solution

The fourth proportional to 10,401.17, 14,353.71 and 5,924.86 is: 8,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.17 : 14,353.71 = 5,924.86 : x
  2. Step 2: Convert to fraction form
    10,401.17/14,353.71 = 5,924.86/x
  3. Step 3: Cross multiply
    10,401.17x = 14,353.71 × 5,924.86
  4. Step 4: Simplify right side
    10,401.17x = 85,043,701.16
  5. Step 5: Solve for x
    x = 85,043,701.16/10,401.17
  6. Step 6: Final answer
    x = 8,176.36

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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.