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Finding the Fourth Proportional to 11,868.98, 16,379.30 and 6,564.16

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Solution

The fourth proportional to 11,868.98, 16,379.30 and 6,564.16 is: 9,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.98 : 16,379.30 = 6,564.16 : x
  2. Step 2: Convert to fraction form
    11,868.98/16,379.30 = 6,564.16/x
  3. Step 3: Cross multiply
    11,868.98x = 16,379.30 × 6,564.16
  4. Step 4: Simplify right side
    11,868.98x = 107,516,321.35
  5. Step 5: Solve for x
    x = 107,516,321.35/11,868.98
  6. Step 6: Final answer
    x = 9,058.60

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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.