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Finding the Fourth Proportional to 10,562.98, 15,844.29 and 3,167.32

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Solution

The fourth proportional to 10,562.98, 15,844.29 and 3,167.32 is: 4,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.98 : 15,844.29 = 3,167.32 : x
  2. Step 2: Convert to fraction form
    10,562.98/15,844.29 = 3,167.32/x
  3. Step 3: Cross multiply
    10,562.98x = 15,844.29 × 3,167.32
  4. Step 4: Simplify right side
    10,562.98x = 50,183,936.60
  5. Step 5: Solve for x
    x = 50,183,936.60/10,562.98
  6. Step 6: Final answer
    x = 4,750.93

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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.