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Finding the Fourth Proportional to 8,294.02, 12,429.60 and 5,513.38

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Solution

The fourth proportional to 8,294.02, 12,429.60 and 5,513.38 is: 8,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.02 : 12,429.60 = 5,513.38 : x
  2. Step 2: Convert to fraction form
    8,294.02/12,429.60 = 5,513.38/x
  3. Step 3: Cross multiply
    8,294.02x = 12,429.60 × 5,513.38
  4. Step 4: Simplify right side
    8,294.02x = 68,529,108.05
  5. Step 5: Solve for x
    x = 68,529,108.05/8,294.02
  6. Step 6: Final answer
    x = 8,262.47

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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.