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Finding the Fourth Proportional to 10,405.56, 15,608.16 and 2,614.36

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Solution

The fourth proportional to 10,405.56, 15,608.16 and 2,614.36 is: 3,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.56 : 15,608.16 = 2,614.36 : x
  2. Step 2: Convert to fraction form
    10,405.56/15,608.16 = 2,614.36/x
  3. Step 3: Cross multiply
    10,405.56x = 15,608.16 × 2,614.36
  4. Step 4: Simplify right side
    10,405.56x = 40,805,349.18
  5. Step 5: Solve for x
    x = 40,805,349.18/10,405.56
  6. Step 6: Final answer
    x = 3,921.49

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Why These Related Problems?

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