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Finding the Fourth Proportional to 11,802.22, 17,703.36 and 5,226.64

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Solution

The fourth proportional to 11,802.22, 17,703.36 and 5,226.64 is: 7,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.22 : 17,703.36 = 5,226.64 : x
  2. Step 2: Convert to fraction form
    11,802.22/17,703.36 = 5,226.64/x
  3. Step 3: Cross multiply
    11,802.22x = 17,703.36 × 5,226.64
  4. Step 4: Simplify right side
    11,802.22x = 92,529,089.51
  5. Step 5: Solve for x
    x = 92,529,089.51/11,802.22
  6. Step 6: Final answer
    x = 7,839.97

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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.