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Finding the Fourth Proportional to 10,705.39, 14,773.77 and 5,989.66

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Solution

The fourth proportional to 10,705.39, 14,773.77 and 5,989.66 is: 8,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.39 : 14,773.77 = 5,989.66 : x
  2. Step 2: Convert to fraction form
    10,705.39/14,773.77 = 5,989.66/x
  3. Step 3: Cross multiply
    10,705.39x = 14,773.77 × 5,989.66
  4. Step 4: Simplify right side
    10,705.39x = 88,489,859.22
  5. Step 5: Solve for x
    x = 88,489,859.22/10,705.39
  6. Step 6: Final answer
    x = 8,265.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.