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Finding the Fourth Proportional to 10,179.41, 15,269.18 and 2,783.70

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Solution

The fourth proportional to 10,179.41, 15,269.18 and 2,783.70 is: 4,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.41 : 15,269.18 = 2,783.70 : x
  2. Step 2: Convert to fraction form
    10,179.41/15,269.18 = 2,783.70/x
  3. Step 3: Cross multiply
    10,179.41x = 15,269.18 × 2,783.70
  4. Step 4: Simplify right side
    10,179.41x = 42,504,802.45
  5. Step 5: Solve for x
    x = 42,504,802.45/10,179.41
  6. Step 6: Final answer
    x = 4,175.57

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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.