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Finding the Fourth Proportional to 11,611.40, 17,417.04 and 4,215.80

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Solution

The fourth proportional to 11,611.40, 17,417.04 and 4,215.80 is: 6,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.40 : 17,417.04 = 4,215.80 : x
  2. Step 2: Convert to fraction form
    11,611.40/17,417.04 = 4,215.80/x
  3. Step 3: Cross multiply
    11,611.40x = 17,417.04 × 4,215.80
  4. Step 4: Simplify right side
    11,611.40x = 73,426,757.23
  5. Step 5: Solve for x
    x = 73,426,757.23/11,611.40
  6. Step 6: Final answer
    x = 6,323.68

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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.