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Finding the Fourth Proportional to 10,705.50, 14,774.31 and 5,990.22

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Solution

The fourth proportional to 10,705.50, 14,774.31 and 5,990.22 is: 8,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.50 : 14,774.31 = 5,990.22 : x
  2. Step 2: Convert to fraction form
    10,705.50/14,774.31 = 5,990.22/x
  3. Step 3: Cross multiply
    10,705.50x = 14,774.31 × 5,990.22
  4. Step 4: Simplify right side
    10,705.50x = 88,501,367.25
  5. Step 5: Solve for x
    x = 88,501,367.25/10,705.50
  6. Step 6: Final answer
    x = 8,266.91

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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.