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Finding the Fourth Proportional to 11,649.80, 17,474.60 and 6,971.11

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Solution

The fourth proportional to 11,649.80, 17,474.60 and 6,971.11 is: 10,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.80 : 17,474.60 = 6,971.11 : x
  2. Step 2: Convert to fraction form
    11,649.80/17,474.60 = 6,971.11/x
  3. Step 3: Cross multiply
    11,649.80x = 17,474.60 × 6,971.11
  4. Step 4: Simplify right side
    11,649.80x = 121,817,332.55
  5. Step 5: Solve for x
    x = 121,817,332.55/11,649.80
  6. Step 6: Final answer
    x = 10,456.60

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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.