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Finding the Fourth Proportional to 8,284.64, 12,429.48 and 3,353.36

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Solution

The fourth proportional to 8,284.64, 12,429.48 and 3,353.36 is: 5,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.64 : 12,429.48 = 3,353.36 : x
  2. Step 2: Convert to fraction form
    8,284.64/12,429.48 = 3,353.36/x
  3. Step 3: Cross multiply
    8,284.64x = 12,429.48 × 3,353.36
  4. Step 4: Simplify right side
    8,284.64x = 41,680,521.05
  5. Step 5: Solve for x
    x = 41,680,521.05/8,284.64
  6. Step 6: Final answer
    x = 5,031.06

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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.