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Finding the Fourth Proportional to 7,824.88, 10,797.40 and 4,638.24

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Solution

The fourth proportional to 7,824.88, 10,797.40 and 4,638.24 is: 6,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.88 : 10,797.40 = 4,638.24 : x
  2. Step 2: Convert to fraction form
    7,824.88/10,797.40 = 4,638.24/x
  3. Step 3: Cross multiply
    7,824.88x = 10,797.40 × 4,638.24
  4. Step 4: Simplify right side
    7,824.88x = 50,080,932.58
  5. Step 5: Solve for x
    x = 50,080,932.58/7,824.88
  6. Step 6: Final answer
    x = 6,400.22

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