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Finding the Fourth Proportional to 11,649.80, 17,478.28 and 6,975.08

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Solution

The fourth proportional to 11,649.80, 17,478.28 and 6,975.08 is: 10,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.80 : 17,478.28 = 6,975.08 : x
  2. Step 2: Convert to fraction form
    11,649.80/17,478.28 = 6,975.08/x
  3. Step 3: Cross multiply
    11,649.80x = 17,478.28 × 6,975.08
  4. Step 4: Simplify right side
    11,649.80x = 121,912,401.26
  5. Step 5: Solve for x
    x = 121,912,401.26/11,649.80
  6. Step 6: Final answer
    x = 10,464.76

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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.