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Finding the Fourth Proportional to 11,611.80, 17,417.70 and 4,217.40

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Solution

The fourth proportional to 11,611.80, 17,417.70 and 4,217.40 is: 6,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.80 : 17,417.70 = 4,217.40 : x
  2. Step 2: Convert to fraction form
    11,611.80/17,417.70 = 4,217.40/x
  3. Step 3: Cross multiply
    11,611.80x = 17,417.70 × 4,217.40
  4. Step 4: Simplify right side
    11,611.80x = 73,457,407.98
  5. Step 5: Solve for x
    x = 73,457,407.98/11,611.80
  6. Step 6: Final answer
    x = 6,326.10

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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.