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Finding the Fourth Proportional to 10,705.75, 14,773.94 and 5,990.02

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Solution

The fourth proportional to 10,705.75, 14,773.94 and 5,990.02 is: 8,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.75 : 14,773.94 = 5,990.02 : x
  2. Step 2: Convert to fraction form
    10,705.75/14,773.94 = 5,990.02/x
  3. Step 3: Cross multiply
    10,705.75x = 14,773.94 × 5,990.02
  4. Step 4: Simplify right side
    10,705.75x = 88,496,196.08
  5. Step 5: Solve for x
    x = 88,496,196.08/10,705.75
  6. Step 6: Final answer
    x = 8,266.23

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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.