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Finding the Fourth Proportional to 11,574.75, 17,364.60 and 4,649.25

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Solution

The fourth proportional to 11,574.75, 17,364.60 and 4,649.25 is: 6,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.75 : 17,364.60 = 4,649.25 : x
  2. Step 2: Convert to fraction form
    11,574.75/17,364.60 = 4,649.25/x
  3. Step 3: Cross multiply
    11,574.75x = 17,364.60 × 4,649.25
  4. Step 4: Simplify right side
    11,574.75x = 80,732,366.55
  5. Step 5: Solve for x
    x = 80,732,366.55/11,574.75
  6. Step 6: Final answer
    x = 6,974.87

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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.