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Finding the Fourth Proportional to 8,211.36, 12,317.12 and 2,368

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Solution

The fourth proportional to 8,211.36, 12,317.12 and 2,368 is: 3,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.36 : 12,317.12 = 2,368 : x
  2. Step 2: Convert to fraction form
    8,211.36/12,317.12 = 2,368/x
  3. Step 3: Cross multiply
    8,211.36x = 12,317.12 × 2,368
  4. Step 4: Simplify right side
    8,211.36x = 29,166,940.16
  5. Step 5: Solve for x
    x = 29,166,940.16/8,211.36
  6. Step 6: Final answer
    x = 3,552.02

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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.