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Finding the Fourth Proportional to 11,966.31, 17,955.04 and 4,568.32

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Solution

The fourth proportional to 11,966.31, 17,955.04 and 4,568.32 is: 6,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.31 : 17,955.04 = 4,568.32 : x
  2. Step 2: Convert to fraction form
    11,966.31/17,955.04 = 4,568.32/x
  3. Step 3: Cross multiply
    11,966.31x = 17,955.04 × 4,568.32
  4. Step 4: Simplify right side
    11,966.31x = 82,024,451.27
  5. Step 5: Solve for x
    x = 82,024,451.27/11,966.31
  6. Step 6: Final answer
    x = 6,854.62

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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.