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Finding the Fourth Proportional to 7,668.11, 11,496.78 and 2,984.17

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Solution

The fourth proportional to 7,668.11, 11,496.78 and 2,984.17 is: 4,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.11 : 11,496.78 = 2,984.17 : x
  2. Step 2: Convert to fraction form
    7,668.11/11,496.78 = 2,984.17/x
  3. Step 3: Cross multiply
    7,668.11x = 11,496.78 × 2,984.17
  4. Step 4: Simplify right side
    7,668.11x = 34,308,298.06
  5. Step 5: Solve for x
    x = 34,308,298.06/7,668.11
  6. Step 6: Final answer
    x = 4,474.15

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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.