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Finding the Fourth Proportional to 11,202.69, 16,814.42 and 5,659.93

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Solution

The fourth proportional to 11,202.69, 16,814.42 and 5,659.93 is: 8,495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.69 : 16,814.42 = 5,659.93 : x
  2. Step 2: Convert to fraction form
    11,202.69/16,814.42 = 5,659.93/x
  3. Step 3: Cross multiply
    11,202.69x = 16,814.42 × 5,659.93
  4. Step 4: Simplify right side
    11,202.69x = 95,168,440.19
  5. Step 5: Solve for x
    x = 95,168,440.19/11,202.69
  6. Step 6: Final answer
    x = 8,495.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.