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Finding the Fourth Proportional to 10,845.57, 16,223.81 and 8,658.57

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Solution

The fourth proportional to 10,845.57, 16,223.81 and 8,658.57 is: 12,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,845.57 : 16,223.81 = 8,658.57 : x
  2. Step 2: Convert to fraction form
    10,845.57/16,223.81 = 8,658.57/x
  3. Step 3: Cross multiply
    10,845.57x = 16,223.81 × 8,658.57
  4. Step 4: Simplify right side
    10,845.57x = 140,474,951.26
  5. Step 5: Solve for x
    x = 140,474,951.26/10,845.57
  6. Step 6: Final answer
    x = 12,952.29

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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.