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Finding the Fourth Proportional to 8,262.34, 12,405.76 and 8,016.30

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Solution

The fourth proportional to 8,262.34, 12,405.76 and 8,016.30 is: 12,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.34 : 12,405.76 = 8,016.30 : x
  2. Step 2: Convert to fraction form
    8,262.34/12,405.76 = 8,016.30/x
  3. Step 3: Cross multiply
    8,262.34x = 12,405.76 × 8,016.30
  4. Step 4: Simplify right side
    8,262.34x = 99,448,273.85
  5. Step 5: Solve for x
    x = 99,448,273.85/8,262.34
  6. Step 6: Final answer
    x = 12,036.34

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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.