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Finding the Fourth Proportional to 10,174.25, 15,262.32 and 3,154.32

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Solution

The fourth proportional to 10,174.25, 15,262.32 and 3,154.32 is: 4,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.25 : 15,262.32 = 3,154.32 : x
  2. Step 2: Convert to fraction form
    10,174.25/15,262.32 = 3,154.32/x
  3. Step 3: Cross multiply
    10,174.25x = 15,262.32 × 3,154.32
  4. Step 4: Simplify right side
    10,174.25x = 48,142,241.22
  5. Step 5: Solve for x
    x = 48,142,241.22/10,174.25
  6. Step 6: Final answer
    x = 4,731.77

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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.