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Finding the Fourth Proportional to 8,123.84, 12,184.64 and 3,506.24

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Solution

The fourth proportional to 8,123.84, 12,184.64 and 3,506.24 is: 5,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.84 : 12,184.64 = 3,506.24 : x
  2. Step 2: Convert to fraction form
    8,123.84/12,184.64 = 3,506.24/x
  3. Step 3: Cross multiply
    8,123.84x = 12,184.64 × 3,506.24
  4. Step 4: Simplify right side
    8,123.84x = 42,722,272.15
  5. Step 5: Solve for x
    x = 42,722,272.15/8,123.84
  6. Step 6: Final answer
    x = 5,258.88

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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.