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Finding the Fourth Proportional to 10,812.86, 16,213.01 and 5,259.20

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Solution

The fourth proportional to 10,812.86, 16,213.01 and 5,259.20 is: 7,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.86 : 16,213.01 = 5,259.20 : x
  2. Step 2: Convert to fraction form
    10,812.86/16,213.01 = 5,259.20/x
  3. Step 3: Cross multiply
    10,812.86x = 16,213.01 × 5,259.20
  4. Step 4: Simplify right side
    10,812.86x = 85,267,354.83
  5. Step 5: Solve for x
    x = 85,267,354.83/10,812.86
  6. Step 6: Final answer
    x = 7,885.74

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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.