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Finding the Fourth Proportional to 8,304.66, 12,380.03 and 7,682.58

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Solution

The fourth proportional to 8,304.66, 12,380.03 and 7,682.58 is: 11,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.66 : 12,380.03 = 7,682.58 : x
  2. Step 2: Convert to fraction form
    8,304.66/12,380.03 = 7,682.58/x
  3. Step 3: Cross multiply
    8,304.66x = 12,380.03 × 7,682.58
  4. Step 4: Simplify right side
    8,304.66x = 95,110,532.46
  5. Step 5: Solve for x
    x = 95,110,532.46/8,304.66
  6. Step 6: Final answer
    x = 11,452.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.