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Finding the Fourth Proportional to 8,002.76, 11,946.38 and 7,643.30

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Solution

The fourth proportional to 8,002.76, 11,946.38 and 7,643.30 is: 11,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.76 : 11,946.38 = 7,643.30 : x
  2. Step 2: Convert to fraction form
    8,002.76/11,946.38 = 7,643.30/x
  3. Step 3: Cross multiply
    8,002.76x = 11,946.38 × 7,643.30
  4. Step 4: Simplify right side
    8,002.76x = 91,309,668.31
  5. Step 5: Solve for x
    x = 91,309,668.31/8,002.76
  6. Step 6: Final answer
    x = 11,409.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.