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Finding the Fourth Proportional to 8,307.19, 12,463.19 and 2,463.94

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Solution

The fourth proportional to 8,307.19, 12,463.19 and 2,463.94 is: 3,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.19 : 12,463.19 = 2,463.94 : x
  2. Step 2: Convert to fraction form
    8,307.19/12,463.19 = 2,463.94/x
  3. Step 3: Cross multiply
    8,307.19x = 12,463.19 × 2,463.94
  4. Step 4: Simplify right side
    8,307.19x = 30,708,552.37
  5. Step 5: Solve for x
    x = 30,708,552.37/8,307.19
  6. Step 6: Final answer
    x = 3,696.62

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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.