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Finding the Fourth Proportional to 10,627.26, 14,668.96 and 7,268.78

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Solution

The fourth proportional to 10,627.26, 14,668.96 and 7,268.78 is: 10,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.26 : 14,668.96 = 7,268.78 : x
  2. Step 2: Convert to fraction form
    10,627.26/14,668.96 = 7,268.78/x
  3. Step 3: Cross multiply
    10,627.26x = 14,668.96 × 7,268.78
  4. Step 4: Simplify right side
    10,627.26x = 106,625,443.07
  5. Step 5: Solve for x
    x = 106,625,443.07/10,627.26
  6. Step 6: Final answer
    x = 10,033.20

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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.