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Finding the Fourth Proportional to 7,283.98, 10,043.92 and 4,922.02

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Solution

The fourth proportional to 7,283.98, 10,043.92 and 4,922.02 is: 6,787.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.98 : 10,043.92 = 4,922.02 : x
  2. Step 2: Convert to fraction form
    7,283.98/10,043.92 = 4,922.02/x
  3. Step 3: Cross multiply
    7,283.98x = 10,043.92 × 4,922.02
  4. Step 4: Simplify right side
    7,283.98x = 49,436,375.12
  5. Step 5: Solve for x
    x = 49,436,375.12/7,283.98
  6. Step 6: Final answer
    x = 6,787.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.