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Finding the Fourth Proportional to 6,762.56, 10,147.68 and 2,866.56

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Solution

The fourth proportional to 6,762.56, 10,147.68 and 2,866.56 is: 4,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.56 : 10,147.68 = 2,866.56 : x
  2. Step 2: Convert to fraction form
    6,762.56/10,147.68 = 2,866.56/x
  3. Step 3: Cross multiply
    6,762.56x = 10,147.68 × 2,866.56
  4. Step 4: Simplify right side
    6,762.56x = 29,088,933.58
  5. Step 5: Solve for x
    x = 29,088,933.58/6,762.56
  6. Step 6: Final answer
    x = 4,301.47

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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.