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Finding the Fourth Proportional to 11,802.20, 17,709.24 and 7,358.72

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Solution

The fourth proportional to 11,802.20, 17,709.24 and 7,358.72 is: 11,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.20 : 17,709.24 = 7,358.72 : x
  2. Step 2: Convert to fraction form
    11,802.20/17,709.24 = 7,358.72/x
  3. Step 3: Cross multiply
    11,802.20x = 17,709.24 × 7,358.72
  4. Step 4: Simplify right side
    11,802.20x = 130,317,213.23
  5. Step 5: Solve for x
    x = 130,317,213.23/11,802.20
  6. Step 6: Final answer
    x = 11,041.78

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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.