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Finding the Fourth Proportional to 8,254.58, 11,381.72 and 6,017.46

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Solution

The fourth proportional to 8,254.58, 11,381.72 and 6,017.46 is: 8,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.58 : 11,381.72 = 6,017.46 : x
  2. Step 2: Convert to fraction form
    8,254.58/11,381.72 = 6,017.46/x
  3. Step 3: Cross multiply
    8,254.58x = 11,381.72 × 6,017.46
  4. Step 4: Simplify right side
    8,254.58x = 68,489,059.87
  5. Step 5: Solve for x
    x = 68,489,059.87/8,254.58
  6. Step 6: Final answer
    x = 8,297.10

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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.