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Finding the Fourth Proportional to 11,006.60, 15,189 and 6,814.04

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Solution

The fourth proportional to 11,006.60, 15,189 and 6,814.04 is: 9,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.60 : 15,189 = 6,814.04 : x
  2. Step 2: Convert to fraction form
    11,006.60/15,189 = 6,814.04/x
  3. Step 3: Cross multiply
    11,006.60x = 15,189 × 6,814.04
  4. Step 4: Simplify right side
    11,006.60x = 103,498,453.56
  5. Step 5: Solve for x
    x = 103,498,453.56/11,006.60
  6. Step 6: Final answer
    x = 9,403.31

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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.