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Finding the Fourth Proportional to 11,871.04, 16,379.66 and 6,564.83

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Solution

The fourth proportional to 11,871.04, 16,379.66 and 6,564.83 is: 9,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.04 : 16,379.66 = 6,564.83 : x
  2. Step 2: Convert to fraction form
    11,871.04/16,379.66 = 6,564.83/x
  3. Step 3: Cross multiply
    11,871.04x = 16,379.66 × 6,564.83
  4. Step 4: Simplify right side
    11,871.04x = 107,529,683.36
  5. Step 5: Solve for x
    x = 107,529,683.36/11,871.04
  6. Step 6: Final answer
    x = 9,058.15

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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.