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Finding the Fourth Proportional to 10,405.67, 15,608.51 and 2,614.47

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Solution

The fourth proportional to 10,405.67, 15,608.51 and 2,614.47 is: 3,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.67 : 15,608.51 = 2,614.47 : x
  2. Step 2: Convert to fraction form
    10,405.67/15,608.51 = 2,614.47/x
  3. Step 3: Cross multiply
    10,405.67x = 15,608.51 × 2,614.47
  4. Step 4: Simplify right side
    10,405.67x = 40,807,968.07
  5. Step 5: Solve for x
    x = 40,807,968.07/10,405.67
  6. Step 6: Final answer
    x = 3,921.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.