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Finding the Fourth Proportional to 8,496.64, 12,743.76 and 2,653.12

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Solution

The fourth proportional to 8,496.64, 12,743.76 and 2,653.12 is: 3,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.64 : 12,743.76 = 2,653.12 : x
  2. Step 2: Convert to fraction form
    8,496.64/12,743.76 = 2,653.12/x
  3. Step 3: Cross multiply
    8,496.64x = 12,743.76 × 2,653.12
  4. Step 4: Simplify right side
    8,496.64x = 33,810,724.53
  5. Step 5: Solve for x
    x = 33,810,724.53/8,496.64
  6. Step 6: Final answer
    x = 3,979.31

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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.