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Finding the Fourth Proportional to 10,004.85, 13,803.21 and 6,225.80

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Solution

The fourth proportional to 10,004.85, 13,803.21 and 6,225.80 is: 8,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.85 : 13,803.21 = 6,225.80 : x
  2. Step 2: Convert to fraction form
    10,004.85/13,803.21 = 6,225.80/x
  3. Step 3: Cross multiply
    10,004.85x = 13,803.21 × 6,225.80
  4. Step 4: Simplify right side
    10,004.85x = 85,935,955.80
  5. Step 5: Solve for x
    x = 85,935,955.80/10,004.85
  6. Step 6: Final answer
    x = 8,589.43

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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.