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Finding the Fourth Proportional to 8,390.16, 12,576.78 and 4,217.58

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Solution

The fourth proportional to 8,390.16, 12,576.78 and 4,217.58 is: 6,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.16 : 12,576.78 = 4,217.58 : x
  2. Step 2: Convert to fraction form
    8,390.16/12,576.78 = 4,217.58/x
  3. Step 3: Cross multiply
    8,390.16x = 12,576.78 × 4,217.58
  4. Step 4: Simplify right side
    8,390.16x = 53,043,575.79
  5. Step 5: Solve for x
    x = 53,043,575.79/8,390.16
  6. Step 6: Final answer
    x = 6,322.12

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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.