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Finding the Fourth Proportional to 11,539.29, 17,308.94 and 5,989.77

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Solution

The fourth proportional to 11,539.29, 17,308.94 and 5,989.77 is: 8,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.29 : 17,308.94 = 5,989.77 : x
  2. Step 2: Convert to fraction form
    11,539.29/17,308.94 = 5,989.77/x
  3. Step 3: Cross multiply
    11,539.29x = 17,308.94 × 5,989.77
  4. Step 4: Simplify right side
    11,539.29x = 103,676,539.59
  5. Step 5: Solve for x
    x = 103,676,539.59/11,539.29
  6. Step 6: Final answer
    x = 8,984.66

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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.