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Finding the Fourth Proportional to 11,870.75, 16,380.39 and 6,564.83

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Solution

The fourth proportional to 11,870.75, 16,380.39 and 6,564.83 is: 9,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.75 : 16,380.39 = 6,564.83 : x
  2. Step 2: Convert to fraction form
    11,870.75/16,380.39 = 6,564.83/x
  3. Step 3: Cross multiply
    11,870.75x = 16,380.39 × 6,564.83
  4. Step 4: Simplify right side
    11,870.75x = 107,534,475.68
  5. Step 5: Solve for x
    x = 107,534,475.68/11,870.75
  6. Step 6: Final answer
    x = 9,058.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.