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Finding the Fourth Proportional to 11,730.67, 17,597.15 and 3,410.75

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Solution

The fourth proportional to 11,730.67, 17,597.15 and 3,410.75 is: 5,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.67 : 17,597.15 = 3,410.75 : x
  2. Step 2: Convert to fraction form
    11,730.67/17,597.15 = 3,410.75/x
  3. Step 3: Cross multiply
    11,730.67x = 17,597.15 × 3,410.75
  4. Step 4: Simplify right side
    11,730.67x = 60,019,479.36
  5. Step 5: Solve for x
    x = 60,019,479.36/11,730.67
  6. Step 6: Final answer
    x = 5,116.46

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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.