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Finding the Fourth Proportional to 7,855.40, 11,783.10 and 2,661.68

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Solution

The fourth proportional to 7,855.40, 11,783.10 and 2,661.68 is: 3,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.40 : 11,783.10 = 2,661.68 : x
  2. Step 2: Convert to fraction form
    7,855.40/11,783.10 = 2,661.68/x
  3. Step 3: Cross multiply
    7,855.40x = 11,783.10 × 2,661.68
  4. Step 4: Simplify right side
    7,855.40x = 31,362,841.61
  5. Step 5: Solve for x
    x = 31,362,841.61/7,855.40
  6. Step 6: Final answer
    x = 3,992.52

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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.