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Finding the Fourth Proportional to 10,289.61, 14,199.03 and 5,813.55

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Solution

The fourth proportional to 10,289.61, 14,199.03 and 5,813.55 is: 8,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.61 : 14,199.03 = 5,813.55 : x
  2. Step 2: Convert to fraction form
    10,289.61/14,199.03 = 5,813.55/x
  3. Step 3: Cross multiply
    10,289.61x = 14,199.03 × 5,813.55
  4. Step 4: Simplify right side
    10,289.61x = 82,546,770.86
  5. Step 5: Solve for x
    x = 82,546,770.86/10,289.61
  6. Step 6: Final answer
    x = 8,022.34

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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.