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Finding the Fourth Proportional to 10,190.66, 14,063.27 and 5,653.31

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Solution

The fourth proportional to 10,190.66, 14,063.27 and 5,653.31 is: 7,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.66 : 14,063.27 = 5,653.31 : x
  2. Step 2: Convert to fraction form
    10,190.66/14,063.27 = 5,653.31/x
  3. Step 3: Cross multiply
    10,190.66x = 14,063.27 × 5,653.31
  4. Step 4: Simplify right side
    10,190.66x = 79,503,996.66
  5. Step 5: Solve for x
    x = 79,503,996.66/10,190.66
  6. Step 6: Final answer
    x = 7,801.65

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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.