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Finding the Fourth Proportional to 6,686.17, 10,029.26 and 3,762.88

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Solution

The fourth proportional to 6,686.17, 10,029.26 and 3,762.88 is: 5,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.17 : 10,029.26 = 3,762.88 : x
  2. Step 2: Convert to fraction form
    6,686.17/10,029.26 = 3,762.88/x
  3. Step 3: Cross multiply
    6,686.17x = 10,029.26 × 3,762.88
  4. Step 4: Simplify right side
    6,686.17x = 37,738,886.20
  5. Step 5: Solve for x
    x = 37,738,886.20/6,686.17
  6. Step 6: Final answer
    x = 5,644.32

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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.