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Finding the Fourth Proportional to 11,739.71, 16,200.05 and 6,433.50

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Solution

The fourth proportional to 11,739.71, 16,200.05 and 6,433.50 is: 8,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.71 : 16,200.05 = 6,433.50 : x
  2. Step 2: Convert to fraction form
    11,739.71/16,200.05 = 6,433.50/x
  3. Step 3: Cross multiply
    11,739.71x = 16,200.05 × 6,433.50
  4. Step 4: Simplify right side
    11,739.71x = 104,223,040.88
  5. Step 5: Solve for x
    x = 104,223,040.88/11,739.71
  6. Step 6: Final answer
    x = 8,877.82

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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.