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Finding the Fourth Proportional to 11,701.54, 16,147.68 and 6,983.02

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Solution

The fourth proportional to 11,701.54, 16,147.68 and 6,983.02 is: 9,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.54 : 16,147.68 = 6,983.02 : x
  2. Step 2: Convert to fraction form
    11,701.54/16,147.68 = 6,983.02/x
  3. Step 3: Cross multiply
    11,701.54x = 16,147.68 × 6,983.02
  4. Step 4: Simplify right side
    11,701.54x = 112,759,572.39
  5. Step 5: Solve for x
    x = 112,759,572.39/11,701.54
  6. Step 6: Final answer
    x = 9,636.30

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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.