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Finding the Fourth Proportional to 8,509.92, 11,743.98 and 4,733.04

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Solution

The fourth proportional to 8,509.92, 11,743.98 and 4,733.04 is: 6,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.92 : 11,743.98 = 4,733.04 : x
  2. Step 2: Convert to fraction form
    8,509.92/11,743.98 = 4,733.04/x
  3. Step 3: Cross multiply
    8,509.92x = 11,743.98 × 4,733.04
  4. Step 4: Simplify right side
    8,509.92x = 55,584,727.10
  5. Step 5: Solve for x
    x = 55,584,727.10/8,509.92
  6. Step 6: Final answer
    x = 6,531.76

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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.