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Finding the Fourth Proportional to 10,703.94, 14,771.43 and 6,226.02

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Solution

The fourth proportional to 10,703.94, 14,771.43 and 6,226.02 is: 8,591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.94 : 14,771.43 = 6,226.02 : x
  2. Step 2: Convert to fraction form
    10,703.94/14,771.43 = 6,226.02/x
  3. Step 3: Cross multiply
    10,703.94x = 14,771.43 × 6,226.02
  4. Step 4: Simplify right side
    10,703.94x = 91,967,218.61
  5. Step 5: Solve for x
    x = 91,967,218.61/10,703.94
  6. Step 6: Final answer
    x = 8,591.90

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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.