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Finding the Fourth Proportional to 8,653.15, 11,964.68 and 7,546.02

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Solution

The fourth proportional to 8,653.15, 11,964.68 and 7,546.02 is: 10,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.15 : 11,964.68 = 7,546.02 : x
  2. Step 2: Convert to fraction form
    8,653.15/11,964.68 = 7,546.02/x
  3. Step 3: Cross multiply
    8,653.15x = 11,964.68 × 7,546.02
  4. Step 4: Simplify right side
    8,653.15x = 90,285,714.57
  5. Step 5: Solve for x
    x = 90,285,714.57/8,653.15
  6. Step 6: Final answer
    x = 10,433.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.