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Finding the Fourth Proportional to 8,314.24, 12,472.32 and 3,696.64

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Solution

The fourth proportional to 8,314.24, 12,472.32 and 3,696.64 is: 5,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.24 : 12,472.32 = 3,696.64 : x
  2. Step 2: Convert to fraction form
    8,314.24/12,472.32 = 3,696.64/x
  3. Step 3: Cross multiply
    8,314.24x = 12,472.32 × 3,696.64
  4. Step 4: Simplify right side
    8,314.24x = 46,105,677.00
  5. Step 5: Solve for x
    x = 46,105,677.00/8,314.24
  6. Step 6: Final answer
    x = 5,545.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.