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Finding the Fourth Proportional to 11,868.77, 16,379.25 and 6,564.08

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Solution

The fourth proportional to 11,868.77, 16,379.25 and 6,564.08 is: 9,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.77 : 16,379.25 = 6,564.08 : x
  2. Step 2: Convert to fraction form
    11,868.77/16,379.25 = 6,564.08/x
  3. Step 3: Cross multiply
    11,868.77x = 16,379.25 × 6,564.08
  4. Step 4: Simplify right side
    11,868.77x = 107,514,723.67
  5. Step 5: Solve for x
    x = 107,514,723.67/11,868.77
  6. Step 6: Final answer
    x = 9,058.62

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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.