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Finding the Fourth Proportional to 8,384.64, 12,576.96 and 4,483.68

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Solution

The fourth proportional to 8,384.64, 12,576.96 and 4,483.68 is: 6,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.64 : 12,576.96 = 4,483.68 : x
  2. Step 2: Convert to fraction form
    8,384.64/12,576.96 = 4,483.68/x
  3. Step 3: Cross multiply
    8,384.64x = 12,576.96 × 4,483.68
  4. Step 4: Simplify right side
    8,384.64x = 56,391,064.01
  5. Step 5: Solve for x
    x = 56,391,064.01/8,384.64
  6. Step 6: Final answer
    x = 6,725.52

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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.