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Finding the Fourth Proportional to 11,869.56, 16,378.50 and 6,564.42

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Solution

The fourth proportional to 11,869.56, 16,378.50 and 6,564.42 is: 9,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.56 : 16,378.50 = 6,564.42 : x
  2. Step 2: Convert to fraction form
    11,869.56/16,378.50 = 6,564.42/x
  3. Step 3: Cross multiply
    11,869.56x = 16,378.50 × 6,564.42
  4. Step 4: Simplify right side
    11,869.56x = 107,515,352.97
  5. Step 5: Solve for x
    x = 107,515,352.97/11,869.56
  6. Step 6: Final answer
    x = 9,058.07

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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.