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Finding the Fourth Proportional to 10,705.29, 14,773.34 and 5,989.57

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Solution

The fourth proportional to 10,705.29, 14,773.34 and 5,989.57 is: 8,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.29 : 14,773.34 = 5,989.57 : x
  2. Step 2: Convert to fraction form
    10,705.29/14,773.34 = 5,989.57/x
  3. Step 3: Cross multiply
    10,705.29x = 14,773.34 × 5,989.57
  4. Step 4: Simplify right side
    10,705.29x = 88,485,924.12
  5. Step 5: Solve for x
    x = 88,485,924.12/10,705.29
  6. Step 6: Final answer
    x = 8,265.63

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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.