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Finding the Fourth Proportional to 10,705.08, 14,776.17 and 6,230.82

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Solution

The fourth proportional to 10,705.08, 14,776.17 and 6,230.82 is: 8,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.08 : 14,776.17 = 6,230.82 : x
  2. Step 2: Convert to fraction form
    10,705.08/14,776.17 = 6,230.82/x
  3. Step 3: Cross multiply
    10,705.08x = 14,776.17 × 6,230.82
  4. Step 4: Simplify right side
    10,705.08x = 92,067,734.34
  5. Step 5: Solve for x
    x = 92,067,734.34/10,705.08
  6. Step 6: Final answer
    x = 8,600.37

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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.