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Finding the Fourth Proportional to 8,165.29, 12,245.98 and 3,778.53

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Solution

The fourth proportional to 8,165.29, 12,245.98 and 3,778.53 is: 5,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.29 : 12,245.98 = 3,778.53 : x
  2. Step 2: Convert to fraction form
    8,165.29/12,245.98 = 3,778.53/x
  3. Step 3: Cross multiply
    8,165.29x = 12,245.98 × 3,778.53
  4. Step 4: Simplify right side
    8,165.29x = 46,271,802.81
  5. Step 5: Solve for x
    x = 46,271,802.81/8,165.29
  6. Step 6: Final answer
    x = 5,666.89

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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.