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Finding the Fourth Proportional to 10,178.67, 15,266.42 and 2,783.71

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Solution

The fourth proportional to 10,178.67, 15,266.42 and 2,783.71 is: 4,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.67 : 15,266.42 = 2,783.71 : x
  2. Step 2: Convert to fraction form
    10,178.67/15,266.42 = 2,783.71/x
  3. Step 3: Cross multiply
    10,178.67x = 15,266.42 × 2,783.71
  4. Step 4: Simplify right side
    10,178.67x = 42,497,286.02
  5. Step 5: Solve for x
    x = 42,497,286.02/10,178.67
  6. Step 6: Final answer
    x = 4,175.13

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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.