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Finding the Fourth Proportional to 7,668.10, 11,502.15 and 6,696.10

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Solution

The fourth proportional to 7,668.10, 11,502.15 and 6,696.10 is: 10,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.10 : 11,502.15 = 6,696.10 : x
  2. Step 2: Convert to fraction form
    7,668.10/11,502.15 = 6,696.10/x
  3. Step 3: Cross multiply
    7,668.10x = 11,502.15 × 6,696.10
  4. Step 4: Simplify right side
    7,668.10x = 77,019,546.62
  5. Step 5: Solve for x
    x = 77,019,546.62/7,668.10
  6. Step 6: Final answer
    x = 10,044.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.