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Finding the Fourth Proportional to 11,611.70, 17,417.55 and 4,216.14

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Solution

The fourth proportional to 11,611.70, 17,417.55 and 4,216.14 is: 6,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.70 : 17,417.55 = 4,216.14 : x
  2. Step 2: Convert to fraction form
    11,611.70/17,417.55 = 4,216.14/x
  3. Step 3: Cross multiply
    11,611.70x = 17,417.55 × 4,216.14
  4. Step 4: Simplify right side
    11,611.70x = 73,434,829.26
  5. Step 5: Solve for x
    x = 73,434,829.26/11,611.70
  6. Step 6: Final answer
    x = 6,324.21

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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.