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Finding the Fourth Proportional to 8,329.29, 12,493.94 and 4,165.11

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Solution

The fourth proportional to 8,329.29, 12,493.94 and 4,165.11 is: 6,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.29 : 12,493.94 = 4,165.11 : x
  2. Step 2: Convert to fraction form
    8,329.29/12,493.94 = 4,165.11/x
  3. Step 3: Cross multiply
    8,329.29x = 12,493.94 × 4,165.11
  4. Step 4: Simplify right side
    8,329.29x = 52,038,613.61
  5. Step 5: Solve for x
    x = 52,038,613.61/8,329.29
  6. Step 6: Final answer
    x = 6,247.66

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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.