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Finding the Fourth Proportional to 8,686.56, 13,028.85 and 2,447.09

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Solution

The fourth proportional to 8,686.56, 13,028.85 and 2,447.09 is: 3,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.56 : 13,028.85 = 2,447.09 : x
  2. Step 2: Convert to fraction form
    8,686.56/13,028.85 = 2,447.09/x
  3. Step 3: Cross multiply
    8,686.56x = 13,028.85 × 2,447.09
  4. Step 4: Simplify right side
    8,686.56x = 31,882,703.40
  5. Step 5: Solve for x
    x = 31,882,703.40/8,686.56
  6. Step 6: Final answer
    x = 3,670.35

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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.