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Finding the Fourth Proportional to 7,797.24, 11,698.62 and 4,872.12

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Solution

The fourth proportional to 7,797.24, 11,698.62 and 4,872.12 is: 7,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.24 : 11,698.62 = 4,872.12 : x
  2. Step 2: Convert to fraction form
    7,797.24/11,698.62 = 4,872.12/x
  3. Step 3: Cross multiply
    7,797.24x = 11,698.62 × 4,872.12
  4. Step 4: Simplify right side
    7,797.24x = 56,997,080.47
  5. Step 5: Solve for x
    x = 56,997,080.47/7,797.24
  6. Step 6: Final answer
    x = 7,309.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.