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Finding the Fourth Proportional to 10,740.92, 14,822.43 and 5,961.58

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Solution

The fourth proportional to 10,740.92, 14,822.43 and 5,961.58 is: 8,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.92 : 14,822.43 = 5,961.58 : x
  2. Step 2: Convert to fraction form
    10,740.92/14,822.43 = 5,961.58/x
  3. Step 3: Cross multiply
    10,740.92x = 14,822.43 × 5,961.58
  4. Step 4: Simplify right side
    10,740.92x = 88,365,102.24
  5. Step 5: Solve for x
    x = 88,365,102.24/10,740.92
  6. Step 6: Final answer
    x = 8,226.96

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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.