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Finding the Fourth Proportional to 10,245.97, 14,140.79 and 5,770.60

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Solution

The fourth proportional to 10,245.97, 14,140.79 and 5,770.60 is: 7,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.97 : 14,140.79 = 5,770.60 : x
  2. Step 2: Convert to fraction form
    10,245.97/14,140.79 = 5,770.60/x
  3. Step 3: Cross multiply
    10,245.97x = 14,140.79 × 5,770.60
  4. Step 4: Simplify right side
    10,245.97x = 81,600,842.77
  5. Step 5: Solve for x
    x = 81,600,842.77/10,245.97
  6. Step 6: Final answer
    x = 7,964.19

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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.