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Finding the Fourth Proportional to 7,900.35, 11,855.12 and 4,786.58

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Solution

The fourth proportional to 7,900.35, 11,855.12 and 4,786.58 is: 7,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.35 : 11,855.12 = 4,786.58 : x
  2. Step 2: Convert to fraction form
    7,900.35/11,855.12 = 4,786.58/x
  3. Step 3: Cross multiply
    7,900.35x = 11,855.12 × 4,786.58
  4. Step 4: Simplify right side
    7,900.35x = 56,745,480.29
  5. Step 5: Solve for x
    x = 56,745,480.29/7,900.35
  6. Step 6: Final answer
    x = 7,182.65

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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.