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Finding the Fourth Proportional to 10,420.98, 14,380.80 and 5,944.80

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Solution

The fourth proportional to 10,420.98, 14,380.80 and 5,944.80 is: 8,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.98 : 14,380.80 = 5,944.80 : x
  2. Step 2: Convert to fraction form
    10,420.98/14,380.80 = 5,944.80/x
  3. Step 3: Cross multiply
    10,420.98x = 14,380.80 × 5,944.80
  4. Step 4: Simplify right side
    10,420.98x = 85,490,979.84
  5. Step 5: Solve for x
    x = 85,490,979.84/10,420.98
  6. Step 6: Final answer
    x = 8,203.74

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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.