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Finding the Fourth Proportional to 11,869.36, 16,379.80 and 6,564.32

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Solution

The fourth proportional to 11,869.36, 16,379.80 and 6,564.32 is: 9,058.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.36 : 16,379.80 = 6,564.32 : x
  2. Step 2: Convert to fraction form
    11,869.36/16,379.80 = 6,564.32/x
  3. Step 3: Cross multiply
    11,869.36x = 16,379.80 × 6,564.32
  4. Step 4: Simplify right side
    11,869.36x = 107,522,248.74
  5. Step 5: Solve for x
    x = 107,522,248.74/11,869.36
  6. Step 6: Final answer
    x = 9,058.81

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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.