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Finding the Fourth Proportional to 10,100.25, 15,152.84 and 3,174.75

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Solution

The fourth proportional to 10,100.25, 15,152.84 and 3,174.75 is: 4,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.25 : 15,152.84 = 3,174.75 : x
  2. Step 2: Convert to fraction form
    10,100.25/15,152.84 = 3,174.75/x
  3. Step 3: Cross multiply
    10,100.25x = 15,152.84 × 3,174.75
  4. Step 4: Simplify right side
    10,100.25x = 48,106,462.92
  5. Step 5: Solve for x
    x = 48,106,462.92/10,100.25
  6. Step 6: Final answer
    x = 4,762.90

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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.