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Finding the Fourth Proportional to 11,483.72, 17,209.13 and 6,543.14

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Solution

The fourth proportional to 11,483.72, 17,209.13 and 6,543.14 is: 9,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.72 : 17,209.13 = 6,543.14 : x
  2. Step 2: Convert to fraction form
    11,483.72/17,209.13 = 6,543.14/x
  3. Step 3: Cross multiply
    11,483.72x = 17,209.13 × 6,543.14
  4. Step 4: Simplify right side
    11,483.72x = 112,601,757.18
  5. Step 5: Solve for x
    x = 112,601,757.18/11,483.72
  6. Step 6: Final answer
    x = 9,805.34

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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.