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Finding the Fourth Proportional to 10,705.20, 14,770.96 and 7,346.79

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Solution

The fourth proportional to 10,705.20, 14,770.96 and 7,346.79 is: 10,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.20 : 14,770.96 = 7,346.79 : x
  2. Step 2: Convert to fraction form
    10,705.20/14,770.96 = 7,346.79/x
  3. Step 3: Cross multiply
    10,705.20x = 14,770.96 × 7,346.79
  4. Step 4: Simplify right side
    10,705.20x = 108,519,141.22
  5. Step 5: Solve for x
    x = 108,519,141.22/10,705.20
  6. Step 6: Final answer
    x = 10,137.05

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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.