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Finding the Fourth Proportional to 8,146.50, 12,219.75 and 2,952.38

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Solution

The fourth proportional to 8,146.50, 12,219.75 and 2,952.38 is: 4,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.50 : 12,219.75 = 2,952.38 : x
  2. Step 2: Convert to fraction form
    8,146.50/12,219.75 = 2,952.38/x
  3. Step 3: Cross multiply
    8,146.50x = 12,219.75 × 2,952.38
  4. Step 4: Simplify right side
    8,146.50x = 36,077,284.41
  5. Step 5: Solve for x
    x = 36,077,284.41/8,146.50
  6. Step 6: Final answer
    x = 4,428.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.