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Finding the Fourth Proportional to 11,700.98, 16,147.37 and 6,395.81

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Solution

The fourth proportional to 11,700.98, 16,147.37 and 6,395.81 is: 8,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.98 : 16,147.37 = 6,395.81 : x
  2. Step 2: Convert to fraction form
    11,700.98/16,147.37 = 6,395.81/x
  3. Step 3: Cross multiply
    11,700.98x = 16,147.37 × 6,395.81
  4. Step 4: Simplify right side
    11,700.98x = 103,275,397.80
  5. Step 5: Solve for x
    x = 103,275,397.80/11,700.98
  6. Step 6: Final answer
    x = 8,826.22

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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.