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Finding the Fourth Proportional to 7,797.68, 11,697.50 and 3,053.23

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Solution

The fourth proportional to 7,797.68, 11,697.50 and 3,053.23 is: 4,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.68 : 11,697.50 = 3,053.23 : x
  2. Step 2: Convert to fraction form
    7,797.68/11,697.50 = 3,053.23/x
  3. Step 3: Cross multiply
    7,797.68x = 11,697.50 × 3,053.23
  4. Step 4: Simplify right side
    7,797.68x = 35,715,157.93
  5. Step 5: Solve for x
    x = 35,715,157.93/7,797.68
  6. Step 6: Final answer
    x = 4,580.23

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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.