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Finding the Fourth Proportional to 8,156.94, 12,243.51 and 3,775.38

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Solution

The fourth proportional to 8,156.94, 12,243.51 and 3,775.38 is: 5,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.94 : 12,243.51 = 3,775.38 : x
  2. Step 2: Convert to fraction form
    8,156.94/12,243.51 = 3,775.38/x
  3. Step 3: Cross multiply
    8,156.94x = 12,243.51 × 3,775.38
  4. Step 4: Simplify right side
    8,156.94x = 46,223,902.78
  5. Step 5: Solve for x
    x = 46,223,902.78/8,156.94
  6. Step 6: Final answer
    x = 5,666.82

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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.