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Finding the Fourth Proportional to 11,869.58, 16,379.70 and 6,564.62

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Solution

The fourth proportional to 11,869.58, 16,379.70 and 6,564.62 is: 9,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.58 : 16,379.70 = 6,564.62 : x
  2. Step 2: Convert to fraction form
    11,869.58/16,379.70 = 6,564.62/x
  3. Step 3: Cross multiply
    11,869.58x = 16,379.70 × 6,564.62
  4. Step 4: Simplify right side
    11,869.58x = 107,526,506.21
  5. Step 5: Solve for x
    x = 107,526,506.21/11,869.58
  6. Step 6: Final answer
    x = 9,059.00

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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.