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Finding the Fourth Proportional to 11,868.84, 16,379.64 and 6,563.88

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Solution

The fourth proportional to 11,868.84, 16,379.64 and 6,563.88 is: 9,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.84 : 16,379.64 = 6,563.88 : x
  2. Step 2: Convert to fraction form
    11,868.84/16,379.64 = 6,563.88/x
  3. Step 3: Cross multiply
    11,868.84x = 16,379.64 × 6,563.88
  4. Step 4: Simplify right side
    11,868.84x = 107,513,991.40
  5. Step 5: Solve for x
    x = 107,513,991.40/11,868.84
  6. Step 6: Final answer
    x = 9,058.51

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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.