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Finding the Fourth Proportional to 11,591.68, 17,387.34 and 4,666

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Solution

The fourth proportional to 11,591.68, 17,387.34 and 4,666 is: 6,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.68 : 17,387.34 = 4,666 : x
  2. Step 2: Convert to fraction form
    11,591.68/17,387.34 = 4,666/x
  3. Step 3: Cross multiply
    11,591.68x = 17,387.34 × 4,666
  4. Step 4: Simplify right side
    11,591.68x = 81,129,328.44
  5. Step 5: Solve for x
    x = 81,129,328.44/11,591.68
  6. Step 6: Final answer
    x = 6,998.93

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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.