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Finding the Fourth Proportional to 10,164.59, 15,247.38 and 3,149.45

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Solution

The fourth proportional to 10,164.59, 15,247.38 and 3,149.45 is: 4,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.59 : 15,247.38 = 3,149.45 : x
  2. Step 2: Convert to fraction form
    10,164.59/15,247.38 = 3,149.45/x
  3. Step 3: Cross multiply
    10,164.59x = 15,247.38 × 3,149.45
  4. Step 4: Simplify right side
    10,164.59x = 48,020,860.94
  5. Step 5: Solve for x
    x = 48,020,860.94/10,164.59
  6. Step 6: Final answer
    x = 4,724.33

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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.