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Finding the Fourth Proportional to 6,765.66, 10,149.50 and 2,085.28

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Solution

The fourth proportional to 6,765.66, 10,149.50 and 2,085.28 is: 3,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.66 : 10,149.50 = 2,085.28 : x
  2. Step 2: Convert to fraction form
    6,765.66/10,149.50 = 2,085.28/x
  3. Step 3: Cross multiply
    6,765.66x = 10,149.50 × 2,085.28
  4. Step 4: Simplify right side
    6,765.66x = 21,164,549.36
  5. Step 5: Solve for x
    x = 21,164,549.36/6,765.66
  6. Step 6: Final answer
    x = 3,128.23

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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.