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Finding the Fourth Proportional to 7,797.36, 11,700.78 and 4,102.23

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Solution

The fourth proportional to 7,797.36, 11,700.78 and 4,102.23 is: 6,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.36 : 11,700.78 = 4,102.23 : x
  2. Step 2: Convert to fraction form
    7,797.36/11,700.78 = 4,102.23/x
  3. Step 3: Cross multiply
    7,797.36x = 11,700.78 × 4,102.23
  4. Step 4: Simplify right side
    7,797.36x = 47,999,290.74
  5. Step 5: Solve for x
    x = 47,999,290.74/7,797.36
  6. Step 6: Final answer
    x = 6,155.84

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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.