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Finding the Fourth Proportional to 10,072.89, 13,900.51 and 5,596.56

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Solution

The fourth proportional to 10,072.89, 13,900.51 and 5,596.56 is: 7,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.89 : 13,900.51 = 5,596.56 : x
  2. Step 2: Convert to fraction form
    10,072.89/13,900.51 = 5,596.56/x
  3. Step 3: Cross multiply
    10,072.89x = 13,900.51 × 5,596.56
  4. Step 4: Simplify right side
    10,072.89x = 77,795,045.24
  5. Step 5: Solve for x
    x = 77,795,045.24/10,072.89
  6. Step 6: Final answer
    x = 7,723.21

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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.