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Finding the Fourth Proportional to 11,855.16, 17,782.80 and 3,090.12

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Solution

The fourth proportional to 11,855.16, 17,782.80 and 3,090.12 is: 4,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.16 : 17,782.80 = 3,090.12 : x
  2. Step 2: Convert to fraction form
    11,855.16/17,782.80 = 3,090.12/x
  3. Step 3: Cross multiply
    11,855.16x = 17,782.80 × 3,090.12
  4. Step 4: Simplify right side
    11,855.16x = 54,950,985.94
  5. Step 5: Solve for x
    x = 54,950,985.94/11,855.16
  6. Step 6: Final answer
    x = 4,635.20

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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.