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Finding the Fourth Proportional to 7,886.80, 10,850.25 and 7,668.10

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Solution

The fourth proportional to 7,886.80, 10,850.25 and 7,668.10 is: 10,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.80 : 10,850.25 = 7,668.10 : x
  2. Step 2: Convert to fraction form
    7,886.80/10,850.25 = 7,668.10/x
  3. Step 3: Cross multiply
    7,886.80x = 10,850.25 × 7,668.10
  4. Step 4: Simplify right side
    7,886.80x = 83,200,802.03
  5. Step 5: Solve for x
    x = 83,200,802.03/7,886.80
  6. Step 6: Final answer
    x = 10,549.37

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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.