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Finding the Fourth Proportional to 8,207.37, 12,322.61 and 4,207.66

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Solution

The fourth proportional to 8,207.37, 12,322.61 and 4,207.66 is: 6,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.37 : 12,322.61 = 4,207.66 : x
  2. Step 2: Convert to fraction form
    8,207.37/12,322.61 = 4,207.66/x
  3. Step 3: Cross multiply
    8,207.37x = 12,322.61 × 4,207.66
  4. Step 4: Simplify right side
    8,207.37x = 51,849,353.19
  5. Step 5: Solve for x
    x = 51,849,353.19/8,207.37
  6. Step 6: Final answer
    x = 6,317.42

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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.