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Finding the Fourth Proportional to 11,547.82, 17,321.64 and 5,998.30

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Solution

The fourth proportional to 11,547.82, 17,321.64 and 5,998.30 is: 8,997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.82 : 17,321.64 = 5,998.30 : x
  2. Step 2: Convert to fraction form
    11,547.82/17,321.64 = 5,998.30/x
  3. Step 3: Cross multiply
    11,547.82x = 17,321.64 × 5,998.30
  4. Step 4: Simplify right side
    11,547.82x = 103,900,393.21
  5. Step 5: Solve for x
    x = 103,900,393.21/11,547.82
  6. Step 6: Final answer
    x = 8,997.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.