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Finding the Fourth Proportional to 8,253.70, 12,361.82 and 4,959.83

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Solution

The fourth proportional to 8,253.70, 12,361.82 and 4,959.83 is: 7,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.70 : 12,361.82 = 4,959.83 : x
  2. Step 2: Convert to fraction form
    8,253.70/12,361.82 = 4,959.83/x
  3. Step 3: Cross multiply
    8,253.70x = 12,361.82 × 4,959.83
  4. Step 4: Simplify right side
    8,253.70x = 61,312,531.80
  5. Step 5: Solve for x
    x = 61,312,531.80/8,253.70
  6. Step 6: Final answer
    x = 7,428.49

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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.