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Finding the Fourth Proportional to 7,707.82, 10,636.66 and 4,304.88

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Solution

The fourth proportional to 7,707.82, 10,636.66 and 4,304.88 is: 5,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.82 : 10,636.66 = 4,304.88 : x
  2. Step 2: Convert to fraction form
    7,707.82/10,636.66 = 4,304.88/x
  3. Step 3: Cross multiply
    7,707.82x = 10,636.66 × 4,304.88
  4. Step 4: Simplify right side
    7,707.82x = 45,789,544.90
  5. Step 5: Solve for x
    x = 45,789,544.90/7,707.82
  6. Step 6: Final answer
    x = 5,940.66

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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.