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Finding the Fourth Proportional to 7,466.58, 11,197.83 and 2,786.40

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Solution

The fourth proportional to 7,466.58, 11,197.83 and 2,786.40 is: 4,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.58 : 11,197.83 = 2,786.40 : x
  2. Step 2: Convert to fraction form
    7,466.58/11,197.83 = 2,786.40/x
  3. Step 3: Cross multiply
    7,466.58x = 11,197.83 × 2,786.40
  4. Step 4: Simplify right side
    7,466.58x = 31,201,633.51
  5. Step 5: Solve for x
    x = 31,201,633.51/7,466.58
  6. Step 6: Final answer
    x = 4,178.84

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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.