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Finding the Fourth Proportional to 6,862.71, 10,294.07 and 1,668.54

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Solution

The fourth proportional to 6,862.71, 10,294.07 and 1,668.54 is: 2,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.71 : 10,294.07 = 1,668.54 : x
  2. Step 2: Convert to fraction form
    6,862.71/10,294.07 = 1,668.54/x
  3. Step 3: Cross multiply
    6,862.71x = 10,294.07 × 1,668.54
  4. Step 4: Simplify right side
    6,862.71x = 17,176,059.22
  5. Step 5: Solve for x
    x = 17,176,059.22/6,862.71
  6. Step 6: Final answer
    x = 2,502.81

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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.