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Finding the Fourth Proportional to 11,730.77, 17,596.45 and 3,410.87

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Solution

The fourth proportional to 11,730.77, 17,596.45 and 3,410.87 is: 5,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.77 : 17,596.45 = 3,410.87 : x
  2. Step 2: Convert to fraction form
    11,730.77/17,596.45 = 3,410.87/x
  3. Step 3: Cross multiply
    11,730.77x = 17,596.45 × 3,410.87
  4. Step 4: Simplify right side
    11,730.77x = 60,019,119.69
  5. Step 5: Solve for x
    x = 60,019,119.69/11,730.77
  6. Step 6: Final answer
    x = 5,116.38

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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.