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Finding the Fourth Proportional to 10,245.80, 14,139.65 and 5,769.82

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Solution

The fourth proportional to 10,245.80, 14,139.65 and 5,769.82 is: 7,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.80 : 14,139.65 = 5,769.82 : x
  2. Step 2: Convert to fraction form
    10,245.80/14,139.65 = 5,769.82/x
  3. Step 3: Cross multiply
    10,245.80x = 14,139.65 × 5,769.82
  4. Step 4: Simplify right side
    10,245.80x = 81,583,235.36
  5. Step 5: Solve for x
    x = 81,583,235.36/10,245.80
  6. Step 6: Final answer
    x = 7,962.60

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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.