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Finding the Fourth Proportional to 8,123.52, 12,185.24 and 1,967.52

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Solution

The fourth proportional to 8,123.52, 12,185.24 and 1,967.52 is: 2,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.52 : 12,185.24 = 1,967.52 : x
  2. Step 2: Convert to fraction form
    8,123.52/12,185.24 = 1,967.52/x
  3. Step 3: Cross multiply
    8,123.52x = 12,185.24 × 1,967.52
  4. Step 4: Simplify right side
    8,123.52x = 23,974,703.40
  5. Step 5: Solve for x
    x = 23,974,703.40/8,123.52
  6. Step 6: Final answer
    x = 2,951.27

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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.