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Finding the Fourth Proportional to 11,869.59, 16,379.85 and 6,564.29

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Solution

The fourth proportional to 11,869.59, 16,379.85 and 6,564.29 is: 9,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.59 : 16,379.85 = 6,564.29 : x
  2. Step 2: Convert to fraction form
    11,869.59/16,379.85 = 6,564.29/x
  3. Step 3: Cross multiply
    11,869.59x = 16,379.85 × 6,564.29
  4. Step 4: Simplify right side
    11,869.59x = 107,522,003.66
  5. Step 5: Solve for x
    x = 107,522,003.66/11,869.59
  6. Step 6: Final answer
    x = 9,058.61

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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.